Question

Rationalize the denominator

i. 1/√5

ii. 2/3√7

iii. 1/(√3 - √2)

iv. 1/(3√5 + 2√2)

v. 12/(4√3 - √2)

Answer 1

i. 1/√5

Thus, 1/(√3 - √2) = √3 + √2

iv. 1/(3√5 + 2√2) = (1/(3√5 + 2√2)) x ((3√5 - 2√2)/(3√5 - 2√2)) ... [Multiplying the numerator and denominator by (3√5 - 2√2)]