Simplify Square Root Worksheets (printable, online, answers, examples) - Free Printable

Let’s simplify each square root step by step. We’ll look for perfect squares that multiply into the number under the root, then pull them out.

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√8
8 = 4 × 2 → √(4×2) = √4 × 2 = 2√2

√45
45 = 9 × 5 → √(9×5) = √9 × √5 = 3√5

√18
18 = 9 × 2 → √(9×2) = √9 × √2 = 3√2

√32
32 = 16 × 2 → √(16×2) = √16 × √2 = 4√2

√27
27 = 9 × 3 → √(9×3) = √9 × 3 = 3√3

√49
49 is a perfect square → √49 = 7

√28
28 = 4 × 7 → √(4×7) = √4 × √7 = 2√7

√128
128 = 64 × 2 → √(64×2) = √64 × √2 = 8√2

√75
75 = 25 × 3 → √(25×3) = √25 × √3 = 5√3

√96
96 = 16 × 6 → √(16×6) = √16 × √6 = 4√6

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Final Answer:
√8 = 2√2
√45 = 3√5
√18 = 3√2
√32 = 4√2
√27 = 3√3
√49 = 7
√28 = 2√7
√128 = 8√2
√75 = 5√3
√96 = 4√6