How do I solve this?

Question

simplify these radical expressions

1. 7/sqrt(3)

2. sqrt(14) * sqrt(8)

3. 3sqrt(7)/sqrt(20x)

 

Answer 1

Hi Sydney,

 

1) 7/√3  - multiply the fraction by √3 to make it rational

7√3 / 3

 

2) √14 / √8

= √7*2 / √4*2

= √7*√2 / 2√2

= √7 / 2

 

3) 3√7 / √20x

= 3√7 / √5*4x

= 3√7 / 2√5x

Answer 2

1. 7/sqrt(3)

= 7/√3

rationalise the denominator

=7√3/ 3

 

 

2. sqrt(14) * sqrt(8)

 

= √14 * √8

=√(14*8)

=√112

=√(16*7)

=4√7

 

3. 3sqrt(7)/sqrt(20x)

 

=3√7 / √(20x)

=3√7 / √4*5*x

=3√7 /2√5x