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Question

Find the square root of
24+415421235

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Solution

24+415421235
=24+2×5×23+2×(7)×23+25×(7)
=5+7+12+2×5×23+2×(7)×23+25×(7)
=(5+237)2
Hence square root of 24+415421235 is ±(5+237)

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