Question

rationalize 1/3√5+2√2​

Answer 1

Step-by-step explanation:

$\frac{1}{3 \sqrt{5} + 2 \sqrt{2} } \\ \\ \frac{1 \times (3 \sqrt{5} - 2 \sqrt{2})}{(3 \sqrt{5} + 2 \sqrt{2}) \times (3 \sqrt{5} - 2 \sqrt{2})} \\ \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{45 - 8} \\ \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{37}$

Hope it helps.

Answer 2

Answer:

Q. Rationalize

1/3√5+2√2

Sol. 1/3√5+2√2

Multiple both numerator and denominator with 1/3√5-2√2,we get

=1/3√5+2√2*(multiply) 3√5-2√2/3√5-2√2

=3√5-2√2/(3√5)^2-(2√2)^2 [using identity:- (a+b)(a-b)]

=3√5-2√2/9*5-4*2

=3√5-2√2/45-8

=3√5-2√2/37 ......... Answer