Math, asked by happy6894, 1 year ago

find square root of 193600 by long division

Answers

Answered by saksham572
6
193600 = 1936 × 100
193600 = 2×968×100 = 2×2×484×100

193600 = 2×2×2×242×100 = 2×2×2×2×121×100

193600= 2×2×2×2×11×11×10×10

193600= (2^2)×(2^2)×(11^2)×(10^2)

Now,

√(193600) = √[ (2^2)×(2^2)×(11^2)×(10^2)]

√(193600) = 2×2×11×10 = 440

Answer. 440
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