Question

How is $\sqrt{\frac{117}{121} }$ the same as $3\sqrt{\frac{13}{11} }$

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Answer 1

Step-by-step explanation:

√(117/121)

= √{ (3×3×13) ÷ (11×11)

= √ { (3)² × 13} ÷ √ (11)²

= (3)×(√13) ÷ 11

= (3/11) × √13