How do you simplify (2\root[ 3] { 49} ) ( 5\root [ 3] { 7} )?

1 Answer
Oct 15, 2017

70

Explanation:

Given, [2 root(3)49][5 root(3)7]

rArr [2. (49)^(1/3)][5. 7^(1/3)]

rArr 2. 5. (7^2)^(1/3). 7^(1/3)

rArr 10. 7^(2/3).7^(1/3) [ As (a^m)^n = a^(mn)]

rArr 10. 7^(2/3+1/3) [ As a^m. a^n = a^(m+n)]

rArr 10. 7^[(2+1)/3]

rArr 10. 7^(3/3)

rArr 10. 7^1

rArr 10. 7 [ As a^1 = a]

rArr 70