Question

Solve this problem..... ​

Answer 1

Answer:

16

Step-by-step explanation:

Given :

To find the value of $\sqrt{248+\sqrt{52 +\sqrt{144}}}$

Solution :

We know that,

$\sqrt{144} = \sqrt{12 \times 12} = 12$

$\sqrt{64} = \sqrt{8 \times 8} = 8$

$\sqrt{256} = \sqrt{16 \times 16} = 16$,.

Hence,.

⇒ $\sqrt{248+\sqrt{52 +\sqrt{144}}}$

⇒ $\sqrt{248+\sqrt{52 + 12}}$

⇒ $\sqrt{248+\sqrt{64}}$

⇒ $\sqrt{248+ 8}$

⇒ $\sqrt{256}$

⇒ 16

Answer 2

$\sqrt{144 = 12 + 54 = 64 = 8 + 248 = 256 \sqrt{ = 16} }$