express the result in the simplest form -108a^4 b^3 whole cube root

Open in App

Solution

$We have, {(- 108 a^{4} b^{3})}^{\frac{1}{3}} = {[2 \times 2 \times (- 3) \times (- 3) \times (- 3) \times a \times a \times a \times a \times b \times b \times b]}^{\frac{1}{3}} = {[4 \times {(- 3)}^{3} \times a^{3} \times a \times b^{3}]}^{\frac{1}{3}} = - 3 \times a \times b \times {(4 \times a)}^{\frac{1}{3}} = - 3 a b \sqrt[3]{4 a}$

Suggest Corrections

Similar questions

\sqrt[3]{- 108 a^{4} b^{3}}

\sqrt{x^{3} y^{3}} \div \sqrt[3]{x^{4} y^{3}}

4 \sqrt{12} \times 7 \sqrt{6}

\sqrt[3]{32} \times \sqrt[3]{250}

8. \sqrt{242} - 5. \sqrt{50} + 3. \sqrt{98}

Join BYJU'S Learning Program