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NDA 2013

Exam: NDA
Year: 2013
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2013 · Mathematics · Basics of Mathematics

What is the positive square root of 7+4 3 ?

What is the positive square root of

7+4 \sqrt{3}

?

Options

A $\sqrt{3}-1$
B $\sqrt{3}+1$
C $\sqrt{3}-2$
D $\sqrt{3}+2$

Correct answer

D. $\sqrt{3}+2$

Step-by-step solution

Let

\begin{aligned} \mathrm{P}^2 & =7+4 \sqrt{3} \\ & =(2)^2+(\sqrt{3})^2+2 \cdot 2 \cdot \sqrt{3} \\ & =(2+\sqrt{3})^2 \end{aligned}

Hence, positive square root

P=(\sqrt{3}+2)

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