What is the value of (\(\sqrt{75}\div\sqrt{3}\))?
Answer and explanation
Correct answer: 5
Since \(\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}\), we get \(\sqrt{75}\div\sqrt{3}=5\sqrt{3}\div\sqrt{3}=5\). Option B incorrectly treats the radicand 25 as the final value, while option C results from an incorrect subtraction of radicands. Exam tip: factor the radicand into a perfect square and another factor before simplifying.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Since \(\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}\), we get \(\sqrt{75}\div\sqrt{3}=5\sqrt{3}\div\sqrt{3}=5\). Option B incorrectly treats the radicand 25 as the final value, while option C results from an incorrect subtraction of radicands. Exam tip: factor the radicand into a perfect square and another factor before simplifying.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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