Question

evaluate each of the following by remove radical sign. (27) ^2/3​

Answer 1

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$\color{red}\huge{\underline{\underline{\mathfrak{Correst\:Question:-}}}}$

${\red{\bold{\text{Find the value of [tex]27^\frac{2}{3}}}}}$

$\rule{200}3$

$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

${\blue{\bold{\text{9 is the result we get as answer.}}}}$

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$\color{orange}\huge{\underline{\underline{\mathfrak{Solution:-}}}}$

We have to find the value of $27^\frac{2}{3}$

${\blue{\bold{\text{We can write it as}}}}$

$\left(3^3\right)^\frac{2}{3}$

${\blue{\bold{\text{We know that the powers will be multiplied}}}}$

${\blue{\bold{\text{On multiplying we get the result as 3^2}}}}$

${\blue{\bold{\text{And}}}}$

${\blue{\bold{\text{3^2=9}}}}$

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${\red{\bold{\text{Hope it helps}}}}$

Answer 2

QUESTION→

Evaluate each of the following by removing radical sign.

${27}^{ \frac{2}{3} }$

ANSWER→

${27}^{ \frac{2}{3} }$

Here, we have to first find out the cube root of 27

$\sqrt[3]{27} = 3$

Then, Squaring of 3

${3}^{2} = 9$

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