Question : Find the value of $\sqrt{\left[\left(7^2+6^3+9^2\right) \div 2+52\right]}$.
Option 1: 14
Option 2: 15
Option 3: 16
Option 4: 13
Answer (1)
25th Jan, 2024
Correct Answer: 15
Solution :
$\sqrt{\left[\left(7^2+6^3+9^2\right) \div 2+52\right]}$
$=\sqrt{\left[\left(49+216+81\right) \div 2+52\right]}$
$=\sqrt{\left[\left(346\right) \div 2+52\right]}$
$=\sqrt{[173+52]}$
$=\sqrt{225}$
$=15$
Hence, the correct answer is 15.
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