Question

If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -​

Answer 1

Solution :

$y = 2(1 + 5 \sqrt{967} )$

Step by Step explanation:

1.Switch sides

$y\sqrt{6} = \sqrt{24 } + \sqrt{967} \sqrt{600}$

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2.Simplify√24 + √967 √600

$y \sqrt{6} = 2 \sqrt{6} + 10 \sqrt{5802}$

3.Divide both side by √6

$\frac{y \sqrt{6} }{ \sqrt{6} } = \frac{2 \sqrt{6} }{ \sqrt{6 } } + \frac{10 \sqrt{5802} }{ \sqrt{6} }$

4.Simplify

$y = 2(1 + 5 \sqrt{967} )$