Question

rationalise the denominator 3/(7-√2)​

Answer 1

ANSWER:

$\frac{3(7 + \sqrt{2} )}{47}$

GIVEN

$\frac{3}{7 - \sqrt{2} }$

TO FIND:

• Rationalise the denominator.

SOLUTION:

$= \frac{3}{7 - \sqrt{2} } \: \\ = \frac{3}{7 - \sqrt{2} } \: \: \: \times \: \frac{(7 + \sqrt{2)} }{(7 + \sqrt{2}) } \\ = \frac{3(7 + \sqrt{2} )}{49 - 2} \\ = \: \frac{3(7 + \sqrt{2} )}{47}$

• In this way we can personalize the denominator of any given number.

NOTE:

• First think it is clear that in rationalization we have to remove the square root from the denominator.
• we have to multiply in such a way that the square root is removed from the denominator.