Question

Simplify
a)4/(√7+√3)
b)1/(3+√2)
c)1/(2√5-√3)
Answers
a)5+2√6
b)11-6.√3
c)(2√6+3+2√2+√3)/5

Answer 1

a)4/(√7+√3)=4×(√7-√3) /4 (rationalize)
⇒4s get canceled
⇒√7-√3
b)1/(3+√2)(rationalize)
⇒(3-√2)/9-2
⇒3-√2/7
c)1/(2√5-√3)(rationalize)
⇒2√5+√3/20-3
⇒2√5+√3/17



Answer 2

$4/\sqrt{7}+\sqrt{3}=4(\sqrt{7}-\sqrt{3})/7-3=\sqrt{7}-\sqrt{3}$
$1/3+\sqrt{2}=3-\sqrt{2}/9-2=1/7*(3-\sqrt{2})$
$1/2\sqrt{5}-\sqrt{3}=(2\sqrt{5}+\sqrt{3})/20-3 = 1/17*(2\sqrt{5}+\sqrt{3})$