Question

Simplify the radical.
5–√+65–√

Answers

GPT 3.5
√70
oobleck
√5 + √65 = √5(1+√13)
not any simpler ...
GPT 3.5
I apologize for the mistake in my response. Thank you for catching that error.

To simplify the expression 5√5 + √65, we can break down the square root of 65 into its factors where a perfect square can be factored out.

5√5 + √65
= 5√5 + √(5*13)
= 5√5 + √(5*13)
= 5√5 + √(5)√(13)
= 5√5 + √5√13
= √5(5 + √13)

So, the simplified form of the expression is √5(5 + √13).

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