Simplifying RadicalsPulling perfect squares out from under the root sign.9th GradeA radical simplifies when the number insidehas a perfect square factor. Split it, takethe root of the square, and leave the rest√(ab) = √a × √b√505√250 = 25 × 2, and √25 = 5.√726√272 = 36 × 2.√x⁶x³Halve the exponent for a square root.3√2 + 5√28√2Like radicals add just like like terms.THE COMMON MISTAKE✗ √(9 + 16) = 3 + 4✓ √25 = 5The rule works over multiplication and division, never over addition.√2, √3 and √5 are irrational. Leaving them exact is more accuratethan a rounded decimal.Simplifying Radicalswww.littleactivity.com

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Math · 9th Grade

Simplifying Radicals

Pulling perfect squares out from under the root sign.

How to use it

Find the largest perfect square factor. Using a smaller one just means doing it twice.

Free · print-ready PDF · US Letter and A4

Grade
9th Grade
Ages
14–15
Subject
Math
Pages
1

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