Question

plz see the above picture..
The ques is :-
★Rationalise
$\frac{3}{ \sqrt{5} - \sqrt{2} }$
plz tell the right Ans..
★Solution with correct ans and correct steps will receive the brain list tag and thank...​

Answer 1

Answer:

The right answer is (√5+√2)

Step-by-step explanation:

given equation is 3/√5-√2

according to rationalizing

3/√5-√2*√5+√2/√5+√2

3(√5+√2)/(√5)^2-(√2)^2

[from a^2-b^2=(a+b)(a-b)]

3(√5+√2)/5-2

3(√5+√2)/3

3cancels and the answer

is (√5+√2)

Answer 2

Given :

$\boxed{\bf\dfrac{3}{\sqrt{5}-\sqrt{2}}}$

To Find :

Rationalization.

Solution :

$\\ =\sf\dfrac{3}{\sqrt{5}-\sqrt{2}}$

$\\ =\sf\dfrac{3}{\sqrt{5}-\sqrt{2}}\times\dfrac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}$

$\\ =\sf\dfrac{3(\sqrt{5}+\sqrt{2})}{(\sqrt{5}-\sqrt{2})\times(\sqrt{5}+\sqrt{2})}$

Using the identity (a + b)(a - b) = (a² - b²),

$\\ =\sf\dfrac{3(\sqrt{5}+\sqrt{2})}{(\sqrt{5})^2-(\sqrt{2})^2}$

$\\ =\sf\dfrac{3(\sqrt{5}+\sqrt{2})}{5-2}$

$\\ =\sf\dfrac{3(\sqrt{5}+\sqrt{2})}{3}$

$\\ =\sf\dfrac{\not{3}(\sqrt{5}+\sqrt{2})}{\not{3}}$

$\\ =\sf\sqrt{5}+\sqrt{2}$

$\\ \therefore\boxed{\bf\sqrt{5}+\sqrt{2}.}$

The answer is √5 + √2.

Explore More :

• The above question is solved by the method of rationalisation.

• Rationalization is a technique which is generally used to remove the roots which is given in the form of denominators .

• We use rationalisation for proving something like in trigonometry.

• For doing rationalising you always have to multiply the same value but having opposite sign.