Question

If p = √2−√5/√2+ √5 and q = √2 +√5/√2 − √5 then find the value of p – q

Answer 1

Step-by-step explanation:

on solving by rationalizing methods, we get

p = ( 7+2 root 10) /3

and q = (-7 -2 root 10)/3

according to question

p- q = 4 root 10/3.

Answer 2

Answer:

= √20-√10

Step-by-step explanation:

p = √2−√5/√2+ √5

q = √2 +√5/√2 − √5

when we subtract p and q we get,

= √2-√5/√2+√5-(√2 +√5/√2 − √5)

= √2-√5/√2+√5-√2-√5/√2+√5

= -√5/√2-√5/√2+√5+√5

= 2(-√5/√2)+2√5

take common,

= 2(-√5/√2+√5)

= 2{(-√5+√10)/√2}

= √2×√2{(-√5+√10)/√2}

= √2(-√5+√10)

= -√10+√20

= √20-√10