How do you find the square root of 784 using prime factorization? I know the index form of 784= 2^4 and 7^2 So what do I do?

Please help, I need it for maths revision!!

Please help, I need it for maths revision!!

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Nov 23, 2017

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#48#

Explanation:

#784 = (2 xx 2) xx (2 xx 2) xx 7 xx 7#

#= (2xx2xx7) xx (2xx2xx7)#

Hence, the square root must be #2xx2xx7#.

Hope this helps explain why halving the index of each factor gives the root.

E.g. the square root of a googol #10^100# is #10^50# because its half of the row of #100# tens multiplied together.

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