Square root of 32 x square root of 1 over 18

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asked Feb 3, 2022 221k views

3 votes

Square root of 32 x square root of 1 over 18

Mathematics
high-school

Abonec asked

by Abonec

3.7k points

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1 Answer

1 vote

Solution:

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