Question

Simplify 3√3+2√27+7/3​

Answer 1

Answer:( 34√3 )/3

Step-by-step explanation:

i ) 2√27 = 2 √ 3 × 3 × 3 = 6√3

ii ) 7/√3 = ( 7 × √3 )/(√3 × √3 ) = 7√3/3

Now ,

3√3 + 2√27 + 7/√3

= 3√3 + 6√3 + ( 7√3 )/3

= 9√3 + ( 7√3 )/3

= [ 27√3 + 7√3 ]/3

= ( 34√3 )/3

I hope this helps you.

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

$\sf{ =3 \sqrt{3} + 2 \sqrt{27} + \frac{7}{ \sqrt{3} } }$

$\sf{ =3 \sqrt{3} + 2 \times 3 \sqrt{3} + \frac{7}{ \sqrt{3} } }$

$\sf{ = 3\sqrt{3} + 6 \sqrt{3} + \frac{7 \sqrt{3} }{3} }$

$\sf{ = \sqrt{3} \bigg(3 + 6 + \frac{7}{3} \bigg) }$

$\sf{ = \sqrt{3} \bigg(9 + \frac{7}{3} \bigg) }$

$\sf{ = \sqrt{3} \times \frac{34}{3} }$

$= \boxed{ \sf{ \frac{34}{3} \sqrt{3} } }\: \: \: \bf{ Ans.}$