How do you rationalize the denominator and simplify √49√500?
1 Answer
Mar 14, 2016
Explanation:
Every positive integer can be expressed as a product of prime numbers. This is helpful in evaluating roots of integers.
in this example we are asked to simplify
Breaking into prime factors:
Notice that
and
Therefore
Since we are evaluating square roots all powers of 2 may be taken through the root sign. Thus:
To rationalize the denominator, multiply top and bottom by
