[tex] \sqrt{124 + 32 \sqrt{15} } [/tex]
find the sqrt step by step
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[tex] \sqrt{124 + 32 \sqrt{15} } [/tex]
find the sqrt step by step
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Answer:
[tex] \sqrt{64} + \sqrt{60} [/tex]
Step-by-step explanation:
[tex] \sqrt{124 + 32 \sqrt{15} } [/tex]
[tex] = \sqrt{124 + 16 \times 2 \sqrt{15} } [/tex]
[tex] = \sqrt{124 + 2 \sqrt{256 \times 15} } [/tex]
[tex] = \sqrt{124 + 2 \sqrt{3840} } [/tex]
[tex] = \sqrt{64 + 60 + 2 \sqrt{64 \times 60} } [/tex]
this is in the form of
[tex] \sqrt{x} + \sqrt{y} = x + y + 2 \sqrt{xy} [/tex]
[tex] = \sqrt{( \sqrt{64 } + \sqrt{60) }^{2} } } [/tex]
[tex] = \sqrt{64} + \sqrt{60} [/tex]
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