Question

Rationalise the denominator 5/3+square root of 5 .........”( do not spam give the correct answer)

Answer 1

ANSWER:

• The value of above expression = 5(3-√5)/4

GIVEN:

$\frac{5}{3 + \sqrt{5} }$

TO FIND:

• The value of the above expression.

SOLUTION

$= \frac{5}{3 + \sqrt{5} } \\ \\ = \frac{5(3 - \sqrt{5} )}{(3 + \sqrt{5})(3 - \sqrt{5} ) } \\ \\ = \frac{5(3 - \sqrt{5} )}{9 - 5} \\ \\ = \frac{5(3 - \sqrt{5}) }{4} \\ \\ = \frac{5}{4} (3 - \sqrt{5} )$

So the value of above expression = 5(3-√5)/4

NOTE:

• Firstly we know that in rationalization we have to remove the square root from the denominator of a fraction.
• we have to multiply in numerator and denominator with the same number in order to remove the square root from the denominator.
• In this way we can do rationalization.