Question

√400*200*160*40 can anyone solve it with explaination?​

Answer 1

Step-by-step explanation:

do first 400and200 divide then the answer will come 2 then divide 160and40 then the answer will come 4 then divide 4 by 2 the answer will come 2

Answer 2

Answer:

$\sqrt{400*200*160*40} =\sqrt{(4*4*5*5)*(4*5*5*2)*(4*4*2*5)*(4*2*5)} \\=\sqrt{4^{6}*5^{6}*2^{3}} = 4^{6/2}*5^{6/2}*2^{3/2} = 4^{3}*5^{3}*\sqrt{8} \\= 64*125\sqrt{8} \\=8000\sqrt{8} \\= 8000*2\sqrt{2}\\= 16000\sqrt{2}$

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