Question

Simplify by rationalizing the denominator.
15√2 / √270

Answer 1

its really the right answer…..

Answer 2

`( √(15) )/(3)` ✅

Explanation:

`(15 √(2) )/( √(270) ) \\ \\ = (15 √(2) )/( √(270) ) * ( √(270) )/( √(270) ) \\ \\= (15 √(2) * √(270) )/(270) \\\\ (∵ √(a) * √(a) = a) \\\\ = (15 √(540) )/(270) \\ \\= ( √(2 * 2 * 3 * 3 * 3 * 5) )/(18) \\ \\ = \frac{ \sqrt{ {2}^(2) * {3}^(2) * 15 } }{18} \\ = (2 * 3 √(15) )/(18) \\ \\ = (6 √(15) )/(18) \\ \\ = ( √(15) )/(3)`

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