Which of the following is the simplified form of \(\frac{2}{\sqrt{2}}\)?
Answer and explanation
Correct answer: \(\sqrt{2}\)
The correct answer is \(\sqrt{2}\). Reason: \(\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{\sqrt{2}\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}\). Option C, \(\dfrac{\sqrt{2}}{2}\), equals \(\dfrac{1}{\sqrt{2}}\) and is the reciprocal form, so it is incorrect; options B (1) and D (2) are also not equal to the given expression. Exam tip: multiply numerator and denominator by the square root in the denominator to remove the root and simplify quickly.
Frequently asked questions
What is the correct answer to this question?
\(\sqrt{2}\)
Why is this the correct answer?
The correct answer is \(\sqrt{2}\). Reason: \(\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{\sqrt{2}\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}\). Option C, \(\dfrac{\sqrt{2}}{2}\), equals \(\dfrac{1}{\sqrt{2}}\) and is the reciprocal form, so it is incorrect; options B (1) and D (2) are also not equal to the given expression. Exam tip: multiply numerator and denominator by the square root in the denominator to remove the root and simplify quickly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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