Question
$MF#%\text{What is the square root of }\left(8+2\sqrt{15}\right)?$MF#%
$MF#%\text{What is the square root of }\left(8+2\sqrt{15}\right)?$MF#%
Answer: Option B
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Answer : Option B
Explanation :
$MF#%8+2\sqrt{15}= 5+3 + 2 \times\sqrt{5} \times \sqrt{3}
\\\\=(\sqrt{5})^2+(\sqrt{3})^2 + (2 \times\sqrt{5} \times \sqrt{3})
\\\\= (\sqrt{5} +\sqrt{3} )^2$MF#%
$MF#%\text{Hence, }\sqrt{\left(8+2\sqrt{15}\right)} = \sqrt{(\sqrt{5} +\sqrt{3} )^2} = \sqrt{5} +\sqrt{3} $MF#%
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