Question

Slove the following by prime factorization method cube 64*cube125

Answer 1

Answer:

cube of 64 = 4

cube of 125 = 5

cube 64 * cube 125

4*5 = 20

Answer 2

1. 3√64=√2*32

=√2*2*16

=√2*2*2*8

=√2*2*2*2*4

=√2*2*2*2*2*2

=2*2

=4

Therefore ,

Therefore , cube root of 64=4

2.3√125=3√5*25

=3√5*5*5

=5

Therefore,

Therefore, cube root of 125=5

Hence,

3√64*3√125

=4*5

=20

The answer is 20.

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