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Evaluate of the Following 3 √ 0 . 027 0 . 008 ÷ √ 0 . 09 0 . 04 − 1 - Mathematics

Sum

Evaluate of the following

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt[]{\frac{0 . 09}{0 . 04}} - 1\]

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Solution

To evaluate the value of the expression, we need to proceed as follows:

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt{\frac{0 . 09}{0 . 04}} - 1 = \sqrt[3]{\frac{\frac{27}{1000}}{\frac{8}{1000}}} \div \sqrt{\frac{\frac{9}{100}}{\frac{4}{100}}} - 1 = \sqrt[3]{\frac{27}{8}} \div \sqrt{\frac{9}{4}} - 1 = \frac{\sqrt[3]{27}}{\sqrt[3]{8}} \div \frac{\sqrt{9}}{\sqrt{4}} - 1 = \frac{3}{2} \div \frac{3}{2} - 1 = \frac{3^1}{2} \times \frac{2^1}{3} - 1 = 1 - 1 = 0\]

Thus, the answer is 0.

 
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.4 | Q 7.4 | Page 30
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