algebra 2 high school

Question

Write without a radical in denominator

 

1. 20/√5

 

2. a/√b

 

3. 1/3+√x

Answer 1

Hi Ashley, all that is necessary is to multiply the fraction by 1, or the value in the denominator in both the numerator and denominator.

 

20/√5 becomes (20/√5) * (√5/√5).

 

The numerator becomes: 20 * √5.

 

The denominator becomes: 5 (√5 * √5 = 5)

 

The new fraction becomes: 20√5/5, reduced to lowest terms, 4√5.

 

a/√b becomes (a/√b) * (√b/√b).

 

The numerator becomes: a * √b.

 

The denominator becomes; b (√b * √b = b)

 

The new fraction becomes: a√b / b

 

In example 3, there is no radical in the denominator and the expression you have is correct.

 

Questions?