Question

find the value of a and b if √13-√5/√13+√5=a-b√65

Answer 1

Answer:

Step-by-step explanation:

(√13-√5)/(√13+√5)

=(√13-√5)²/{(√13)²-(√5)²} (rationalising the denominator)

={(√13)²+(√5)²-2(√13)(√5)}/(13-5)

=(13+5-2√65)/8

=(18-2√65)/8

=(18/8)-(2√65/8)=(18/8)-(2/8)√65

=(9/4)-(1/4)√65

So, a=9/4 and b=1/4 (answer)