Question

$\sqrt{124 + 32 \sqrt{15} }$
find the sqrt step by step​

Answer 1

Answer:

$\sqrt{64} + \sqrt{60}$

Step-by-step explanation:

$\sqrt{124 + 32 \sqrt{15} }$

$= \sqrt{124 + 16 \times 2 \sqrt{15} }$

$= \sqrt{124 + 2 \sqrt{256 \times 15} }$

$= \sqrt{124 + 2 \sqrt{3840} }$

$= \sqrt{64 + 60 + 2 \sqrt{64 \times 60} }$

this is in the form of

$\sqrt{x} + \sqrt{y} = x + y + 2 \sqrt{xy}$

$= \sqrt{( \sqrt{64 } + \sqrt{60) }^{2} } }$

$= \sqrt{64} + \sqrt{60}$

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