Question

simplify 2√3 + √27​

Answer 1

Step-by-step explanation:

  2$\sqrt{3}$ + $\sqrt{27}$

= 2$\sqrt{3}$ + $\sqrt{3*3*3}$

= 2$\sqrt{3}$ + 3$\sqrt{3}$

= 5$\sqrt{3}$

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Answer 2

As per the expression given in the above question

We have to simplify the expression.

Explanation step by step:

Given ,

$2√3 + √27$

STEP-1:

we can add ,subtract , multiply and divide with the same domain or family like

$2 \times 2 = 4$

$\sqrt{2} \times \sqrt{2} = 2$

But we can't multiply

$2 \times \sqrt{2}$

STEP-2:

First term is exactly same no changes ,but √27 can change by factorisation

$\sqrt{27} = \sqrt{3 \times 3 \times 3}$

so,

$\sqrt{27} = \sqrt{3} \times \sqrt{3 \times 3}$

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

So we write the given expression,

$2√3 + √27 = 2 \sqrt{3} + 3 \sqrt{3}$

Now take √3 common out

$\sqrt{3} (2 + 3)$

or

$(2 + 3) \sqrt{3}$

Add the terms

$5 \sqrt{3}$

Hence ,

$2√3 + √27 = 5 \sqrt{3}$

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