Question 23

Write the correct answer from the given four options.

The value of $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$ is

a) 14
b) 12
c) 16
d) 13

Open in App

Solution

We have, $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$
$= \sqrt{248 + \sqrt{52 + 12}}$ [ $∵$ square root of 144 = 12]
$= \sqrt{248 + \sqrt{64}}$
$= \sqrt{248 + 8}$ [ $∵$ square root of 64 = 8]
$= \sqrt{256} = 16$ [ $∵$ square root of 256 = 16]

Suggest Corrections

Similar questions

Question 23

Write the correct answer from the given four options.

The value of $\sqrt{248 + \sqrt{52 + \sqrt{144}}}$ is

a) 14
b) 12
c) 16
d) 13

Question 11

Write the correct answer from the given four options.

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

a) 81
b) 64
c) 49
d) 36

Question 12

Write the correct answer from the given four options.

The sum of first n odd natural numbers is

a) $2 n + 1$
b) $n^{2}$
c) $n^{2} - 1$
d) $n^{2} + 1$

Find the value of \sqrt{248 + \sqrt{52 + \sqrt{144}}} .

Find the value of \sqrt{248 + \sqrt{52 + \sqrt{144}}} .

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program