Question : What is the value of $\sqrt{0.52 \times 0.52+0.31 \times 0.31+0.62 \times 0.52}$?
Option 1: 0.63
Option 2: 0.73
Option 3: 0.83
Option 4: 0.93
Correct Answer: 0.83
Solution :
$\sqrt{0.52 \times 0.52+0.31 \times 0.31+0.62 \times 0.52}$
$=\sqrt{(0.31)^{2}+(0.52)^{2}+2×(0.31)×(0.52)}$
$=\sqrt{(0.31+0.52)^{2}}$
$=0.83$
Hence, the correct answer is 0.83.
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