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(2+sqrt{3})(2-sqrt{3}
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09 Mar 2023, 10:31
09 Mar 2023, 10:31
Expert Reply
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Question Stats:
61% (00:14) correct
38% (00:15) wrong based on 18 sessions
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\((2+\sqrt{3})(2-\sqrt{3})\)
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– 5
– 1
1
7
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– 7
– 5
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1
7
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE ARITHMETIC
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Re: (2+sqrt{3})(2-sqrt{3}
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04 Apr 2023, 00:14
04 Apr 2023, 00:14
1
Expert Reply
To solve the expression (2 + √3)(2 - √3), we can use the difference of squares formula, which states that (a + b)(a - b) = a^2 - b^2.
In this case, a = 2 and b = √3. Substituting these values into the formula, we get:
(2 + √3)(2 - √3) = 2^2 - (√3)^2 = 4 - 3 = 1
Therefore, the expression simplifies to 1.
Answer: D
In this case, a = 2 and b = √3. Substituting these values into the formula, we get:
(2 + √3)(2 - √3) = 2^2 - (√3)^2 = 4 - 3 = 1
Therefore, the expression simplifies to 1.
Answer: D
(2+sqrt{3})(2-sqrt{3}
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03 Sep 2023, 23:25
03 Sep 2023, 23:25
\((2+\sqrt{3})(2-\sqrt{3}) \) is of the form \((a+b)(a-b)\). This is a special product which expands to the difference of squares \(a^2-b^2\).
Therefore \((2+\sqrt{3})(2-\sqrt{3}) = 2^2 - \sqrt{3}^2\)
\(4 - 3 = 1\)
The correct answer is Choice D.
Therefore \((2+\sqrt{3})(2-\sqrt{3}) = 2^2 - \sqrt{3}^2\)
\(4 - 3 = 1\)
The correct answer is Choice D.
