Question

how can we write 1920 as 8 root 30



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Answer 1

when we try to find out square root of 1920

prime factorisation of 1920

1920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

we can see that three pairs of twos could be made, rest have no pairing numbers

so one number from each pair will come out of root and the remaining numbers will remain under root

√1920 = 2 x 2 x 2 x√ 2 x 3 x 5

= 8√30