Question

rarionalize the denominstor
(a)3+√2/4√2​

Answer 1

Step-by-step explanation:

Question:-

${ \red{ \frac{3 + \sqrt{2} }{4 \sqrt{2} } }}$

rationalize the denominator

solution:-

$\implies \frac{3 + \sqrt{2} }{4 \sqrt{2} } \\ \implies \frac{3 + \sqrt{2} }{4 \sqrt{2} } \times \frac{4 \sqrt{2} }{4 \sqrt{2} } \\ \implies \frac{(3 + \sqrt{2})(4 \sqrt{2} )}{(4 \sqrt{2} ) {}^{2} } \\ \implies \frac{12 \sqrt{2} + 4 \sqrt{2} \times \sqrt{2} }{16 \times 2} \\ \implies \frac{8 + 12 \sqrt{2} }{32} \\ \implies \frac{ 4(2 + 3 \sqrt{2} )}{32} \\ \implies \frac{2 + 3 \sqrt{2} }{8} \\ \\ \boxed{ \huge \green{ answer = \frac{2 + 3 \sqrt{2} }{8}}}$