Question

simplify 3√3+2√27+7/√3​

Answer 1

Answer:

3×1.732+2×5.196+7÷1.732

=5.196+10.392+4.042

=19.63

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

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

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

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

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

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

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

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