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Re: Which of the following is equivalent to √3+√2?
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02 Apr 2017, 17:22

==> You get \(√a+√b=\sqrt{a+b+2√ab}\) because if you square both sides, you get \(a+b+2\sqrt{ab}\) on both sides. Thus, you get \(√3+√2=\sqrt{5+2√6}\).

Re: Which of the following is equivalent to √3+√2?
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01 Mar 2018, 09:54

1

Top Contributor

MathRevolution wrote:

Which of the following is equivalent to √3+√2?

A. \(√5\) B. \(\sqrt{5+2√6}\) C. \(\sqrt{6+2√5}\) D. \(\sqrt{5-2√6}\) E. \(\sqrt{5+4√6}\)

KEY CONCEPT: If we take a positive number, square it and then take the square root of the result, we'll get back to the same number we started with. For example... Take: 5 Square it to get: 25 Take the square root: √25 Evaluate: 5

Now let's answer the question: Take: √3+√2 Square it to get: (√3+√2)(√3+√2) Use FOIL to expand : 3 + √6 + √6 + 2 Simplify: 5 + 2√6 Take the square root: √(5 + 2√6)

Answer: B

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Re: Which of the following is equivalent to √3+√2? &nbs
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01 Mar 2018, 09:54