Question

please solve
$\sqrt{288 \div \sqrt{128} }$

Answer 1

Explanation:-
$\sqrt{288}/\sqrt{128}$
= sqrt.144 x sqrt.2/sqrt.64 x sqrt.2
= 12 /8
= 3/2

Then, the value of sqrt. 288/sqrt.128 is (4) 3/2.

Answer 2

Hey here is your answer
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$= \sqrt{288 \div \sqrt{128} } \\ \\ = \sqrt{ \frac{288}{ \sqrt{128} } } \\ \\ = \sqrt{ \frac{288}{ \sqrt{2 \times {8}^{2} } } } \\ \\ = \sqrt{ \frac{288}{8 \sqrt{2} } } \\ \\ = \sqrt{ \frac{36}{ \sqrt{2} } } \\ \\ \sqrt{ \frac{ {6}^{2} }{ \sqrt{2} } } \\ \\ = \frac{6}{ \sqrt{ \sqrt{2} } } \\ \\ = 6 \times {2}^{ - \frac{1}{4} }$
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Hope it may helpful to you
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@ajaman.......