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What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)

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Bunuel
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What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) [#permalink] New post   24 Jan 2021, 01:41
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What is the Value of \((1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}\) ?


A. \(\sqrt{2}(2-\sqrt{3})\)

B. \(\sqrt{2}(2+\sqrt{2})\)

C. \(\sqrt{2}(2+\sqrt{3})\)

D. \(\sqrt{2}(3+\sqrt{3})\)

E. \(\sqrt{3}(2+\sqrt{3})\)
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chetan2u
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Re: What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) [#permalink] New post   24 Jan 2021, 02:41
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Bunuel wrote:
What is the Value of \((1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}\) ?


A. \(\sqrt{2}(2-\sqrt{3})\)

B. \(\sqrt{2}(2+\sqrt{2})\)

C. \(\sqrt{2}(2+\sqrt{3})\)

D. \(\sqrt{2}(3+\sqrt{3})\)

E. \(\sqrt{3}(2+\sqrt{3})\)



Let \(x=(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}\)
\(x^2=(1+\sqrt{3})^2*(\sqrt{(2+{\sqrt{{3}}})}^2=(1+3+2\sqrt{3})(2+\sqrt{3})=2(2+\sqrt{3})(2+\sqrt{3})=2*(2+\sqrt{3})^2\)
\(x=\sqrt{2}(2+\sqrt{3})\)

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Re: What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) [#permalink] New post   01 Jul 2021, 11:43
Hi, I am having trouble with most Math Revolution questions. I am not able to develop that mindset needed to solve these logical questions. Any idea on how I should proceed ?
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What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) [#permalink] New post   02 Jul 2021, 08:08
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Pranjal3107 wrote:
Hi, I am having trouble with most Math Revolution questions. I am not able to develop that mindset needed to solve these logical questions. Any idea on how I should proceed ?


Hello,

First of all please make sure where do you post your concern. This question has nothing to do with Math Revolution questions.

If you are finding trouble in solving questions specifically then ask questions or post questions.

Thanks
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What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) [#permalink]
02 Jul 2021, 08:08
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