Question

If a, b, c are positive real numbers, then  \[\sqrt[5]{3125 a^{10} b^5 c^{10}}\]  is equal to

विकल्प

•  5a²bc²

• 25ab²c

•  5a³bc³

• 125a²bc²

Answer 1

Find value of   \[\sqrt[5]{3125 a^{10} b^5 c^{10}}\]

\[\sqrt[5]{3125 a^{10} b^5 c^{10}}\] = `5sqrt(5^5 a^10 b^5 c^10)`

                          `= 5^(5 xx 1/5)  a^(10 xx 1/5 ) b^(5 xx 1/5 ) c^(10xx1/5)`

                           `= 5^(5 xx 1/5)  a^(10 xx 1/5 ) b^(5 xx 1/5 ) c^(10xx1/5)`

\[\sqrt[5]{3125 a^{10} b^5 c^{10}} = 5 a^2 b c^2\]