Question

Rationalize the denominator
√3 -√2÷ √3+√2

Answer 1

Solution;

(√3-√2)/(√3+√2)

Multiply numerator and denominator by (√3-√2),we get

= [(√3-√2)(√3-√2)]/[(√3+√2)(√3-√2)]

= (√3-√2)²/[(√3)²-(√2)²]

=[(√3)²+(√2)²-2*√3*√2]/(3-2)

= (3+2-2√6)/1

= 5-2√6

Therefore,

(√3-√2)/(√3+√2) = 5-2√6

•••

Answer 2

Answer:

=1.73-1.41/1.73+1.41

=3.14/3.14

=1