Question

simplify 4 root 28 / 3 root 7​

Answer 1

hope it will help you....

Answer 2

Answer:

${\sf{\dfrac{8}{3}}}$

Step-by-step explanation:

Given : ${\sf{\ \ {\dfrac{ 4 {\sqrt{28}} }{ 3 {\sqrt{7}} }} }}$

We can write this as :

$\Rightarrow{\sf{\ \ {\dfrac{ 4 {\sqrt{7}} \times {\sqrt{4}} }{ 3 {\sqrt{7}} }} }}$

Cancelling the common terms.

$\Rightarrow{\sf{\ \ {\dfrac{ 4 {\cancel{{\sqrt{7}}}} \times {\sqrt{4}} }{ 3 {\cancel{{\sqrt{7}}}} }} }}$

$\Rightarrow{\sf{\ \ {\dfrac{ 4 {\sqrt{4}} }{ 3 }} }}$

$\Rightarrow{\sf{\ \ {\dfrac{ 4 {\sqrt{2 \times 2}} }{ 3 }} }}$

$\Rightarrow{\sf{\ \ {\dfrac{ 4 {\sqrt{2^2}} }{ 3 }} }}$

$\Rightarrow{\sf{\ \ {\dfrac{ 4 \times (2^2)^{ {\frac{1}{2}} } }{ 3 }} }}$

• ${\boxed{\sf{\red{Identity \ : \ (a^m)^n = (a)^{mn}}}}}$

$\Rightarrow{\sf{\ \ {\dfrac{ 4 \times 2 }{ 3 }} }}$

$\Rightarrow{\boxed{\sf{\red{{\dfrac{ 8 }{ 3 }} }}}}$