Question

x = root 5 + root 2/ root 5- root 2 and y=root 5- root 2/root 5+ root 2 find the value of x+y​

Answer 1

Answer:

Step-by-step explanation:

Given that

x=(√5+√2)/(√5-√2)

y=(√5-√2)/(√5+√2)

Rationalising the denominator

x=(√5+√2)²/{(√5)²-(√2)²}

=(5+2+2√19)/(5-2)

=(7+2√19)/3

y=(√5-√2)²/{(√5)²-(√2)²}

=(7-2√10)/3

So x+y=(7+2√10)/3+(7-2√10)/3=14/3

Hope you got it.