Simplify: √1204.09 – √216.09
√1204.09 + √216.09
Answers
Step-by-step explanation:
something in the numerator and something in the denominator that are the same, then we cancel them out and get a simplified expression.
Before we dive in, let's look at the fraction. Let's ignore the square roots for the moment! In the denominator there is a 5. In the numerator there is a 120. Can we evenly divide 5 into 120? Yes - 5 goes into 120 24 times. So if there wasn't the square roots, things would look like this:
120
5
=
24
⋅
5
5
=
24
With both the numerator and denominator having square roots, the above will work the same way:
√
120
√
5
=
√
24
⋅
5
√
5
=
√
24
⋅
√
5
√
5
=
√
24
Now we can simplify
√
24
. We do that by finding a perfect square as a factor of the number in the square root (if there isn't one, we're done). Is there one? Yes! 4 is a perfect square.
√
24
=
√
4
⋅
6
=
√
4
⋅
√
6
=
2
√
6
Answer:
I think the answer is a 1420.09