Question

Simplify 3√147-7/3✓1/3-7√1/3

Answer 1

$\bold{3\sqrt{147}-\frac{7}{3}\sqrt{\frac{1}{3}}-7\sqrt{\frac{1}{3}}}\\\\=\bold{3\sqrt{7\times7\times\times3}-\frac{7+7\times3}{3}\sqrt{\frac{1}{3}}}\\\\=\bold{21\sqrt{3}-\frac{28}{3}\frac{1}{\sqrt{3}}}\\\\=\bold{\frac{21\sqrt{3}\times3\sqrt{3}-28}{3\sqrt{3}}}\\\\=\bold{\frac{189-28}{3\sqrt{3}}}\\\\=\bold{\frac{161}{3\sqrt{3}}}$

Hence, answer is 161/3√3

Answer 2

Answer:

Step-by-step explanation:

The given equation is:

$3\sqrt{147}-\frac{7}{3}\sqrt{\frac{1}{3}}-7\sqrt{\frac{1}{3}}$

On simplifying the above equation, we get

$3\sqrt{7{\times}3{\times}3}-\sqrt{\frac{1}{3}}(\frac{7}{3}+7)$

$3\sqrt{7{\times}3{\times}3}-\sqrt{\frac{1}{3}}(\frac{28}{3})$

$21\sqrt{3}-\frac{28}{3\sqrt{3}}$

$\frac{189-28}{3\sqrt{3}}$

$\frac{161}{3\sqrt{3}}$

which is the simplified form.