Question

1- Simplify the following expressinos :

a) (5+root7) (2+root5)

b) (5+root5) (5-root5)

c) (3+root7)2

d) (root11-root7) (root11+root7)

2- If a and b are rational number , find the value of a and b in each of the following equations.

a) root3-1/root3+1=a+broot3

b) 3+root7/3-1root7=a+broot7

3- Rationalize the denominator of 5/root3-root5

Answer 1

1)
a) (5+√7)(2+√5)=10+5√5+2√7+√35
b) (5+√5)(5-√5)
(a+b)(a-b)=a²-b²
               =5²-(√5²)
               =25-5
               =20
c)(3+√7)2=3+2√7
d)(√11-√7)(√11+√7)
(a+b)(a-b)=a²-b²
               =(√11)²-(√7)²
               =11-7
               =4
qn.no 2. I don't know.
3)5/√3-√5
5/√3*√3/√3-√5
5√3/3-√5
5√3-3√5
hope it will help you
mark me brainiest.