Brian McLogan
Domain with radical in numerator and denominator
👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
Learn how to find the domain of a radical function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How to find the integral with a radical
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Curated Video
Burning Man: A Celebration of Creativity, Self-Expression, and Community
The Burning Man Festival is a once-a-year event held in the Black Rock Desert of Nevada, where people from all walks of life come together to celebrate creativity, self-expression, and community. Learn about the various art...
Brian McLogan
Domain with radical in the numerator
👉 Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Domain of radical function multiplied by x
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Finding the exact value for sine of 15 degrees using the half angle formula
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
How to add and subtract expressions with radicals
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Learn how to add & subtract radical expression by simplifying
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Institute for New Economic Thinking
Why Economists Failed to Predict the Financial Crisis
10 years later, Nobel laureate George Akerlof says the walls within economics need to come down. George Akerlof, a winner of the Nobel Prize in Economics, doesn’t mince words: economists failed to predict the financial crisis because the...
Brian McLogan
How to different transformations affect our graph? square root function
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
How to integrate when there is a radical in the denominator
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
How to add and subtract three radicals, square root
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Institute of Art and Ideas
A radical new model for consciousness
Neuroscience has enabled us to explain how the brain affects the body. Yet there is no theory to explain how the matter of the brain creates thought and experience. Is consciousness inexplicable because it is not part of the material...
Brian McLogan
Learn how to expand a logarithmic expression and use parenthesis and brackets
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Learning how to expand a logarithmic expression with a square root
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Learn to write the domain of a rational function with a radical
👉 Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Find the domain and write in interval notation of a square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Domain of the square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Domain of rational radical functions
👉 Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
How to find the scalar that makes a unit vector
How to find the scalar that makes a unit vector
Brian McLogan
What is a radical
👉 Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
Rationalizing the denominator of a radical monomial expression
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....