Question
Simplify the expression: 7 times square root of 5 minus 3 times square root of 80
Answers
GPT 3.5
7√5 - 3√80
We can simplify the square roots first:
7√5 - 3√(4 * 20)
7√5 - 3(2√20)
7√5 - 6√20
Then, we simplify the coefficients:
√5 is a prime number so it can't be simplified.
As for √20, we can simplify it as 2√5.
Therefore, the expression simplifies to:
7√5 - 6(2√5)
7√5 - 12√5
Finally, combining like terms:
(7 - 12)√5
-5√5
So, 7√5 - 3√80 simplifies to -5√5
We can simplify the square roots first:
7√5 - 3√(4 * 20)
7√5 - 3(2√20)
7√5 - 6√20
Then, we simplify the coefficients:
√5 is a prime number so it can't be simplified.
As for √20, we can simplify it as 2√5.
Therefore, the expression simplifies to:
7√5 - 6(2√5)
7√5 - 12√5
Finally, combining like terms:
(7 - 12)√5
-5√5
So, 7√5 - 3√80 simplifies to -5√5