Question : Find the value of $\sqrt{\left[\left(13^2-8^2\right) \times 5+4\right]}$ :
Option 1: 22
Option 2: 24
Option 3: 26
Option 4: 23
Answer (1)
9th Jan, 2024
Correct Answer: 23
Solution :
$\sqrt{\left[\left(13^2-8^2\right) \times 5+4\right]}$
$=\sqrt{\left[\left(169-64\right) \times 5+4\right]}$
$= \sqrt{\left[105 \times 5+4\right]}$
$=\sqrt{\left[525+4\right]}$
$= \sqrt{529}$
$= 23$
Hence, the correct answer is 23.
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