Simplify: 4√5 + 3√7 − 6√5 (1 point)
Responses
−2√5+3√7
√12
−10√5+3√7
√7
To simplify 4√5 + 3√7 − 6√5, you can combine like terms by adding or subtracting the coefficients of the square roots with the same radicals.
4√5 - 6√5 simplifies to -2√5.
The simplified expression is then: -2√5 + 3√7.
Therefore, the correct response is: −2√5+3√7.
To simplify the expression 4√5 + 3√7 - 6√5, we can first combine the terms with the same square roots.
The terms with the square root of 5 are 4√5 and -6√5. When we combine these terms, we get -2√5.
The term with the square root of 7 is 3√7.
Putting it all together, the simplified expression is -2√5 + 3√7.
Therefore, the correct answer is -2√5 + 3√7.