Question

Square root of 32 x square root of 1 over 18

Answer 1

`√(32) * \sqrt{ (1)/(18) } \\ = √(32) * ( √(1) )/( √(18) ) \\ = √(32) * (1)/( √(18) ) \\ = (√(2 * 2 * 2 * 2 * 2))/( √(2 * 3 * 3) ) \\ = \frac{ \sqrt{ {2}^(2) * {2}^(2) * 2} }{ \sqrt{2 * {3}^(2) } } \\ = (2 * 2 * √(2) )/(3 * √(2) ) \\ = (4 * √(2) )/(3 * √(2) ) \\ = (4)/(3)`

Answer:

`(4)/(3)`

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