Instructions

What will come in place of the question mark (?) in the given questions?

Question 152

$$\sqrt{(337+\sqrt{(561+\sqrt{225}})}+?=\frac{576}{8}$$

Solution

Expression : $$\sqrt{(337+\sqrt{(561+\sqrt{225}})}+?=\frac{576}{8}$$

=> $$\sqrt{(337 + \sqrt{(561 + 15})} + x = \frac{576}{8}$$

=> $$\sqrt{337 + \sqrt{576}} + x = 72$$

=> $$\sqrt{337 + 24} + x = 72$$

=> $$\sqrt{361} + x = 72$$

=> $$x = 72 - 19 = 53$$


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