How do you Rationalize the denominator of the problem 50 square root divided by square root of 14?

Answer 1

3.5714

Answer 2

So I assume the math problem you want to know the answer to is: (Sq. root) 50 divided by (Sq. root) 14.

In order to rationalize a denominator with a square root, you need to get rid of the square root. In order to do this, you need to multiply both the numerator and the denominator by the un-rationalized denominator, which in this case, is the square root of 14.

If you multiply the top and bottom of a fraction by the same number, then it is the same as multiplying by one, for the purpose of it being a legal equation. When multiplying the denominator by the Sq. root of 14, it's basically just the Sq. root of 14, squared, which is 14. You've now gotten rid of the Sq. root in the denominator and are almost finished.

You're not done though, because the numerator of the Sq. root of 50 still needs to be multiplied by the Sq. root of 14. when multiplying 2 square roots, you multiply the numbers normally and then put a Sq. root sign over the product. 14 x 50 = 700. So the answer would be the Sq. root of 700 over 14.

If the problem calls for simplifying the answer, then you need to break apart the numerator. the Sq. root of 700 is equal to the Sq. root of 100 x the Sq. root of 7. Furthermore, the Sq. root of 100 is equal to 10. So this leaves you with 10 x Sq. root of 7.

The answer then would be 10 Sq. root of 7 over 14.