In which option is (\frac{\sqrt{a}}{\sqrt{b}}) irrational?
Answer and explanation
Correct answer: (a=50,b=2)
Step 1: (\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}). Step 2: For (a=50,b=2), it becomes (\sqrt{25}=5), which is rational, so it should not be selected. Step 3: For an irrational quotient, (\frac{a}{b}) should not be a perfect square; none of the listed options gives that.
Frequently asked questions
What is the correct answer to this question?
(a=50,b=2)
Why is this the correct answer?
Step 1: (\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}). Step 2: For (a=50,b=2), it becomes (\sqrt{25}=5), which is rational, so it should not be selected. Step 3: For an irrational quotient, (\frac{a}{b}) should not be a perfect square; none of the listed options gives that.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
