How do you write x-1-2- in radical form- - Maths Q-A

Convert into radical form To convert exponential form into radical form, use the identity,𝑐^𝐦/𝐧=√(𝐜^𝐦)Thus,x^1/2=√(x^1)=√(x)Therefore, x^1/2 is denoted as √(x) ...

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Standard XIII

Mathematics

Term Independent of x

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Question

How do you write $x^{\frac{1}{2}}$ in radical form.

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Solution

Convert into radical form
To convert exponential form into radical form, use the identity,
$c^{\frac{m}{n}} = \sqrt[n]{c^{m}}$
Thus,
$x^{\frac{1}{2}} = \sqrt[2]{x^{1}} = \sqrt{x}$
Therefore, $x^{\frac{1}{2}}$ is denoted as $\sqrt{x}$ in the radical form.

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How do you write x12 in radical form.

Convert into radical form To convert exponential form into radical form, use the identity,cmn=cmnThus,x12=x12=xTherefore, x12 is denoted as x in the radical form.

How do you write $x^{\frac{1}{2}}$ in radical form.

Convert into radical form
To convert exponential form into radical form, use the identity,
$c^{\frac{m}{n}} = \sqrt[n]{c^{m}}$
Thus,
$x^{\frac{1}{2}} = \sqrt[2]{x^{1}} = \sqrt{x}$
Therefore, $x^{\frac{1}{2}}$ is denoted as $\sqrt{x}$ in the radical form.