Question

Rationalize the denominator a) 1÷√3-√2 b) 1÷√7-√2.

Answer 1

Step-by-step explanation:

(b) 1/(√7-√2)

= 1/(√7-√2) × (√7+√2)/√7+√2)

= (√7+√2)/([√7]²-[√2]²)

= (√7+√2)/(7-2)

= (√7+√2)/5

(a) 1/√3-√2

= 1/(√3-√2) × (√3+√2)/(√3+√2)

= (√3+√2)/([√3]²-[√2]²)

= (√3+√2)/(3-2)

= (√3+√2)/1

= √3+√2