Which of the following is the value of \\(\frac{\sqrt{80}}{\sqrt{5}}\\)?
Answer and explanation
Correct answer: 4
\(\frac{\sqrt{80}}{\sqrt{5}}=\sqrt{\frac{80}{5}}=\sqrt{16}=4\). Alternatively, since \(\sqrt{80}=4\sqrt{5}\), canceling \(\sqrt{5}\) gives \(\frac{4\sqrt{5}}{\sqrt{5}}=4\). Option C (\(2\sqrt{5}\)) equals \(\sqrt{80}\), not the quotient, so it is incorrect; B and D are also incorrect numerical values. Exam tip: simplify the expression inside the radical or factor out perfect squares before dividing to avoid mistakes.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
\(\frac{\sqrt{80}}{\sqrt{5}}=\sqrt{\frac{80}{5}}=\sqrt{16}=4\). Alternatively, since \(\sqrt{80}=4\sqrt{5}\), canceling \(\sqrt{5}\) gives \(\frac{4\sqrt{5}}{\sqrt{5}}=4\). Option C (\(2\sqrt{5}\)) equals \(\sqrt{80}\), not the quotient, so it is incorrect; B and D are also incorrect numerical values. Exam tip: simplify the expression inside the radical or factor out perfect squares before dividing to avoid mistakes.
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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