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Finding Square Root through Prime Factorisation

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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

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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]

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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

Q. Question 14

In the given question, out of four options, only one is correct. Write the correct answer.

If A3 + 8B = 150, then the value of A + B is
(a) 13
(b) 12
(c) 17
(d) 15

Question 16

Write the correct answer from the given four options.

Which among $43^{2}$ , $67^{2}$ , $52^{2}$ , $59^{2}$ would end with digit 1?

a) $43^{2}$
b) $67^{2}$
c) $52^{2}$
d) $59^{2}$

Question 7

Write the correct answer from the given four options.

The one's digit of the cube of 23 is

a) 6
b) 7
c) 3
d) 9

Q. Question 14

In the given question, out of four options, only one is correct. Write the correct answer.

If A3 + 8B = 150, then the value of A + B is
(a) 13
(b) 12
(c) 17
(d) 15

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Finding Square Root through Prime Factorisation

Standard VIII Mathematics

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