Question

Rationalise
3/7+3√2
please tell me​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Rationalising means removing root from the denominator and shift towards the numerator is done to simplify the term.

Step1 : Firstly multiply both numerator and denominator with opposite sign of denominator.

Step 2: identity will use always in the denominator and we are able to remove the root values from denominator.

$= > \frac{3}{7 + 3 \sqrt{2} }$

$= > \frac{3}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} }$

Here ,this identity is used:

$\bold{\boxed{\purple{(x + y)(x - y) = {x}^{2} - {y}^{2} }}}$

$= > \frac{3(7 - 3 \sqrt{2} )}{ {(7)}^{2} - {(3 \sqrt{2}) }^{2} }$

$= > \frac{3(7 - 3 \sqrt{2}) }{49 - 18}$

$= > \frac{3(7 - 3 \sqrt{2} )}{31}$

$\bold\fcolorbox{aqua}{orange}{Answer}$$\bold{ \frac{3(7 - 3 \sqrt{2} )}{31}}$