Question

Question

$\sf \: if \: \frac{3a}{ \sqrt{3} } = 3 \sqrt{3}\: \: find \: the \: value \: of \: a \:$
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Answer 1

Answer :-

⇨ $\sf \frac{3a}{ \sqrt{3} } = 3 \sqrt{3}$

⇨ $\sf 3a = 3 \times \sqrt{3} \times \sqrt{3}$

⇨ $\sf 3a = 3 \times \sqrt{3\times3}$

⇨ $\sf 3a = 3 \times \sqrt{3^2}$

⇨ $\sf 3a = 3 \times 3$

⇨ $\sf 3a = 9$

⇨ $\sf a = \frac{9}{3}$

⇨ $\boxed{\sf a = 3}$

Verification -

$\sf \frac{3a}{ \sqrt{3} } = 3 \sqrt{3}$

Solving LHS -

Substituting the value of a :-

⇨ $\sf \frac{3a}{ \sqrt{3} }$

⇨ $\sf \frac{3 \times 3}{\sqrt{3}}$

⇨ $\sf \frac{\cancel{\sqrt{3}} \times \sqrt{3} \times 3}{\cancel{\sqrt{3}}}$

⇨ $\sf 3\sqrt{3}$

LHS = RHS

Hence verified!

Answer 2

❒ Simplifies to:-

➙1.732051a=5.196152

❒ Let's solve your equation step-by-step.

➙1.732051a=5.196152

❒ Step 1: Divide both sides by 1.732051.

➙1.732051a/1.732051=5.196152/1.732051

➙a=3.

Hence,the value of a is 3..

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