Question

plzz answer this question.
First answer will be mark as brain list. ​

Answer 1

Answer:

3√6

Step-by-step explanation:

Given Problem:

Evalute it :- 1/2 √ 486 -√ 27/2

Solution:

To Evalute:

1/2 √ 486 -√ 27/2

---------------------------

Method:

$\implies\dfrac{1}{2} \times\sqrt{486} \quad - \dfrac{\sqrt27}{\sqrt{2} }$

$\implies\ \dfrac{1}{2} \times\sqrt{486} \quad - \dfrac{\sqrt{27} }{\sqrt{2} }\times\dfrac{\sqrt{2} }{\sqrt{2} }$

$\implies\dfrac{1}{2} \times\sqrt{2\times243} \quad - \dfrac{\sqrt54}{2}$

$\implies\dfrac{1}{2} \times \sqrt{2\times3\times81} \quad -\dfrac{\sqrt{9\times 6} }{2}$

$\implies\dfrac{9}{2} \times\sqrt{6} \quad - \dfrac{3\sqrt{6} }{2}$

$\implies\ = \dfrac{9\sqrt{6}-3\sqrt{6} }{2}$

$\implies\dfrac{6\sqrt{6} }{2}= 3\sqrt{6} ..........(ANSWER)$