Question

please help me solve the question​

Answer 1

The value of the expression is $\frac{9\sqrt{39}+7}{\sqrt{13}}$.

Step-by-step explanation:

The expression is:

$3\sqrt{3}+2\sqrt{27}+\frac{7}{\sqrt{13}}$

Compute the value of the expression as follows:

$3\sqrt{3}+2\sqrt{27}+\frac{7}{\sqrt{13}}$

$=3\sqrt{3}+2\sqrt{9\times 3}+\frac{7}{\sqrt{13}}$

$=3\sqrt{3}+(2\times 3)\sqrt{3}+\frac{7}{\sqrt{13}}$

$=3\sqrt{3}+6\sqrt{3}+\frac{7}{\sqrt{13}}$

$=9\sqrt{3}+\frac{7}{\sqrt{13}}$

$=\frac{9\sqrt{3\times 13}+7}{\sqrt{13}}$

$=\frac{9\sqrt{39}+7}{\sqrt{13}}$

Thus, the value of the expression is $\frac{9\sqrt{39}+7}{\sqrt{13}}$.