Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite √75 as 5⋅√3.

Wouldn't the answer to a square root really be positive and negative? For instance, if we wanted the square root of 9, it would be 3 and -3? because 3x3=9 and -3x-3=9?

Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√ (7x)⋅3√ (14x²) can be written as 42x√ (2x).

For example, simplify √18 as 3√2.

When I look at Simplifying Square Roots, it reminds me a lot of Prime factorization. In fact, I have been following along with these videos on Simplifying Square Roots, using the same method …

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume a is positive.

Simplify square roots VA.Math: A.EO.4.a VA.Math.2023: A.EO.4.a Google Classroom Microsoft Teams

Any variable that can be squared so for instance x^2 or y^4 is taken out of the square root symbol. You then divide the exponent by 2 (so x^2 would be x^1 or just x and y^4 would be y^2). Once …

In this unit, we review exponent rules and learn about higher-order roots like the cube root (or 3rd root). We'll learn how to calculate these roots and simplify algebraic expressions with radicals.

Simplify square roots (variables) VA.Math: A2.EO.2.a VA.Math.2023: A2.EO.2.a Google Classroom Microsoft Teams