Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a = \(\frac{\sqrt {3}}{2}\), find (\(\sqrt {1+a}+\sqrt {1-a}\))

Options:

1

\(\sqrt {3}\)

0

1

Correct Answer:

\(\sqrt {3}\)

Explanation:

If the equation is in the form of (\(\sqrt {1+a}+\sqrt {1-a}\))

then it can be written as

\(\frac{\sqrt {3}}{2}\) + \(\frac{1}{2}\) + \(\frac{\sqrt {3}}{2}\) -\(\frac{1}{2}\)

\(\frac{\sqrt {3}}{2}\) + \(\frac{\sqrt {3}}{2}\) = \(\sqrt {3}\)