Question

Simplify : √a3b4 . 3√a4b3

Answer 1

Break down the square roots, find common denominators, then combine and get to

√3

6

Explanation:

Let's start with the original:

√

43

−

√

34

In order to subtract the two fractions, we need a common denominator. So let's first break the square roots apart and work with the results:

2

√3

−

√3

2

The denominator is going to be

2

√3

, so let's multiply both fractions by forms of 1 to make that happen:

2

√3

(1)

−

√3

2

(1)

2

√3

(

22

)

−

√3

2

(

√3

√3

)

4

2

√3

−3

2

√3

1

2

√3

And now we'll multiply by another form of 1 to get the square root out of the denominator:

1

2

√3

(1)

1

2

√3

(

√3√3

)

√3

2×3

√3

6

6

Answer 2

root a4b3 into 3 into root a4 b3
=3 into root 3 into 4 into a into b whole square
=3 into3 into 4 into ab
=36ab
is answer