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Brian McLogan
Multiply and Simplify
New ReviewLets go ahead and multiply two radical expressions and then simplify the result.
Curated Video
Applying the underlying structure of multiplication and division of surds
Pupil outcome: I can multiply and divide with surds. Key learning points: - The multiplication of surds can be generalised. - √a × √b=√ab and √a × √(1/b) = √(a/b) = √a ÷ √b - You may be able to simplify this product.
Curated Video
Identifying square factors to support simplifying surds
Pupil outcome: I can identify the highest square factor of any term including those written with algebra. Key learning points: - Numbers can be classified as surds or not surds. - Square factors of numerical and algebraic terms can be...
Curated Video
Multiplication of surds
Pupil outcome: I can appreciate the structure that underpins multiplication of surds. Key learning points: - The square root operation is equivalent to the exponent 0.5 where the base is the term under the square root. - You can deduce...
Curated Video
Addition with surds
Pupil outcome: I can appreciate the structure that underpins addition of surds. Key learning points: - An unknown value is represented by a letter. - An unevaluated surd can be thought of as an unknown value. - Each simplified surd has a...
Curated Video
Rewrite a Radical Using Exponents | Algebra 1 | HS.N-RN.A.1 🖤💙
In this math video we will rewrite a radical using exponents. We will be given a radical expression and four exponential expressions. We will review the rule for writing a radical using exponents. We will identify the correct solution.
Curated Video
Understanding Cube Roots | 8.EE.A.2
In this math video we will deepen our understanding of cube roots. We will be answering a question where we are asked to approximate a non-perfect square root using a number line. We will recognize that the whole number values on the...
Curated Video
Simplifying Radical Expressions
This video will explain and demonstrate how to simplify radical expressions.
Brian McLogan
Overview of implied domain of functions
👉 Learn how to find the domain of rational functions. 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. Thus, to find the domain...
Brian McLogan
Learn to add and subtract radical expressions
👉 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
Adding, subtracting, multiplying and dividing two functions
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Brian McLogan
How to write the domain of a rational function with a radical in the numerator
👉 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 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...
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...
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
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
Simplifying a radical expression when the radicand is a rational 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....
Brian McLogan
Find the values that the equation are not defined for
👉 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 solve a word problem involving the cube root
👉 Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Learn how to solve a word problem using square roots, velocity and distance
👉 Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Simplify an expression by adding and subtracting radical terms
👉 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
Simplify a radical expression with variables
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...