Question

Q:- Simplify 6√36 + 5√12.
Please solve this question...
Step by Step explanation (please)​

Answer 1

Answer:

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Answer 2

$\LARGE \red\mapsto{\textrm{{{\color{navy}{Given : }}}}}$

$\bf \Large \rightarrow \: \: \: \: 6 \: \sqrt{36} \: + \: 5 \: \sqrt{12}$

☛ We have to simplify it.

$\large \underline {\bf {{{\color{black}{ Square \: \: root \: \: of \: \: \sqrt{36} \: is \: \: 6 }}}}}$

So ,

$\bf \large \implies \: \: 6 \: \times \: 6 \: + \: 5 \: \sqrt{12} \\ \\ \bf \large \implies \:36 \: + \: 5 \: \sqrt {12}$

Now , we have to simplify the square root of 12.

$\bf \Large \rightarrow \: \: 12 \: = \: 2 \: \times \: 2 \: \times 3 \\ \\ \bf \large \rightarrow \: \: \sqrt{12} = \sqrt{2} \times \sqrt{2} \times \sqrt{3} \\ \\ \bf \Large \rightarrow \: \: \sqrt{12} \: = \: 2 \: \sqrt{3}$

$\Large \orange \mapsto \: {\textrm{{{\color{red}{Now , We get....}}}}}$

$\Large \leadsto \: \: 36 \: + \: 5 \: \times \: 2 \: \sqrt{ 3} \\ \\ \Large \leadsto \: \:36 \: + \: 10 \: \sqrt{3}$

$\Large\bf{\fcolorbox{green}{lime}{\purple{Hence , Simplified }}}$