Instructions

What should come in place of the question mark (?) in the following questions?

Question 131

$$(45)^{2} + (21)^{2} = (?)^{2} + 257$$

Solution

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Expression : $$(45)^{2} + (21)^{2} = (?)^{2} + 257$$

=> $$2025 + 441 = (?)^2 + 257$$

=> $$?^2 = 2466 - 257$$

=> $$? = \sqrt{2209} = 47$$

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