Question

Simplify 28 / √28 - √7

Answer 1

Answer:

28/√28-√7 => 28(√28+√7)/(√28-√7)(√28+√7) => 28/21(√28+√7) => 4/3(2√7+√7) => 4/3(3√7) => 4√7. Hope it helps you.

Answer 2

Answer:

Concept:

Simplification:

The act of simplifying equation or expression, so that it is simpler to carry out or understand, or the thing that is the product of this simplifying process.

Given:

The given expression is $\frac{28}{\sqrt{28} -\sqrt{7} }$.

To Find:

We need to simplify the given expression.

Solution:

Let's simplify the given expression,

$\frac{28}{\sqrt{28} -\sqrt{7} }$

Convert $28$ as $4*7$

⇒  $\frac{4*7}{\sqrt{4*7} -\sqrt{7} }$

⇒  $\frac{4*7}{\sqrt{2*2*7} -\sqrt{7} }$

We know that $\sqrt{2*2} = 2$,

⇒  $\frac{4*7}{2\sqrt{7} -\sqrt{7} }$

⇒  $\frac{4*7}{1\sqrt{7} }$

Lets convert $7=\sqrt{7*7} = \sqrt{7} *\sqrt{7}$,

⇒  $\frac{4*\sqrt{7}* \sqrt{7} }{\sqrt{7} }$

By cancelling the $\sqrt{7}$ ,

⇒  $4*\sqrt{7}$

#SPJ2