Question

Select the correct answer. Simplify the expression. (see the screenshot)

Answer 1

Answer:

Option D

Step-by-step explanation:

Given expression has been given as,

$\sqrt[5]{224x^{11}y^8}$

$\sqrt[5]{224x^{11}y^8}=\sqrt[5]{2\times 2\times 2\times 2\times 2\times 7(x^{11})(y^8)}$

                 $=\sqrt[5]{(2^5)\times (7)(x^{10}\times x)(y^5\times y^3)}$

                 $=2^{\frac{5}{5}}\times 7^{\frac{1}{5}}\times x^{\frac{10}{5}}\times x^{\frac{1}{5}}\times y^{\frac{5}{5} }\times y^{\frac{3}{5} }$

                 $=2\times 7^{\frac{1}{5}}\times x^2\times y\times x^{\frac{1}{5} }\times y^{\frac{3}{5} }$

                 $=2x^2y\sqrt[5]{7xy^3}$

Option D will be the answer.