cube root of 135 space divided by square root of 32 space s i m p l i f y space t h i s space q u e s t i o n

Asked by ayushmani1871 | 7th Jun, 2019, 08:19: PM

Expert Answer:

fraction numerator cube root of 135 over denominator square root of 32 end fraction equals fraction numerator begin display style cube root of 27 cross times 5 end root end style over denominator begin display style square root of 2 to the power of 5 end root end style end fraction equals fraction numerator 3 cube root of 5 over denominator 4 square root of 2 end fraction equals 3 over 4 times 5 to the power of begin display style 1 third end style end exponent over 2 to the power of begin display style 1 half end style end exponent equals 3 over 4 times open parentheses 25 to the power of begin display style 1 half end style end exponent close parentheses to the power of begin display style 1 third end style end exponent over open parentheses 8 to the power of begin display style 1 third end style end exponent close parentheses to the power of begin display style 1 half end style end exponent equals 3 over 4 times fraction numerator open parentheses 25 to the power of begin display style 1 over 6 end style end exponent close parentheses over denominator open parentheses 8 to the power of begin display style 1 over 6 end style end exponent close parentheses end fraction equals 3 over 4 root index 6 of 25 over 8 end root

Answered by Renu Varma | 8th Jun, 2019, 01:51: PM