Question

What is the following qoutient? 3√8/4√6​

Answer 1

3 sqrt(3)

----------- or -----------

2 sqrt(3) 2

Explanation:

3 sqrt(8)

-----------------

4 sqrt(6)

3 sqrt(4*2)

-----------------

4 sqrt(3*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

3 sqrt(4) sqrt(2)

------------------------

4 sqrt(3) sqrt(2)

Canceling the sqrt(2) and sqrt(4) is 2

3*2

----------

4 sqrt(3)

3

-----------

2 sqrt(3)

We can simplify the answer be multiplying by sqrt(3)/sqrt(3)

3 sqrt(3)

----------- * ----------

2 sqrt(3) sqrt(3)

3 sqrt(3)

-----------

2 *3

sqrt(3)

-----------

2