Question 161

$$(84)^{2} - (67)^{2} + \sqrt{?} = 2588$$

Solution

Expression : $$(84)^{2} - (67)^{2} + \sqrt{?} = 2588$$

=> $$[(84 - 67) (84 + 67)] + \sqrt{?} = 2588$$

=> $$(151 \times 17) + \sqrt{?} = 2588$$

=> $$\sqrt{?} = 2588 - 2567$$

=> $$? = 21^2 = 441$$


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