Question

Write 8 1/ 7 in the form n √ 8 where n is a whole number.

Answer 1

Surd is a way in mathematics that we can write expressions with power that come in the form of a fraction.

Writing $8^\frac{1}{7}$ in the form  $= \sqrt[n]{8}$  $= \sqrt[7]{8}$

• Mathematically, when we have the expression $a^\frac{b}{c}$ can also be expressed as : $\sqrt[c]{a ^b}$

We are given: $8^\frac{1}{7}$

It can be written as:

$8^\frac{1}{7}$  $= \sqrt[7]{8^1}$

$= \sqrt[7]{8}$

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