Math, asked by mareio, 11 months ago

root 12/2 what is the answer

Answers

Answered by Anonymous

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$\frac{ \sqrt{12} }{2} \\ \\ = \frac{ 2\sqrt{3} }{2} \\ \\ = \sqrt{3}$

$\huge \purple { \bigstar{ \underline{ \sqrt{3} }}}$

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Answered by ChitranjanMahajan

The value of $\frac{\sqrt{12} }{2}$ is equal to 1.732.

• Let us first proceed only with the numerator. $\sqrt{12}$ can be written as $\sqrt{2 . 2 . 3}$ , as 12 can be factorised into 2 × 2 × 3.

• $\sqrt{2. 2. 3}$ can be further split into $\sqrt{2} . \sqrt{2} . \sqrt{3}$ .

[ Using the property √ab = √a × √b ]

• Now, $\sqrt{2}. \sqrt{2} . \sqrt{3} = (\sqrt{2})^{2} . \sqrt{3}$

$= 2 . \sqrt{3}$

[ Using the property, $(\sqrt{a})^{2} = a^{2}$ ]

• Now, $\frac{\sqrt{12} }{2}$ can be re-written as $\frac{2 . \sqrt{3} }{2}$ .

• $\frac{2. \sqrt{3} }{2} = \sqrt{3} \ (\frac{2}{2} \ gets\ cancelled)$

• The value of $\sqrt{3}$ is equal to = 1.732

• Therefore, the value of $\frac{\sqrt{12} }{2}$ = 1.732

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