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If (\sqrt{t}) lies between (6) and (7), which value of (t) is possible?
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Answer and explanation
Correct answer: (42)
Step 1: (6<\sqrt{t}<7) means (36<t<49). Step 2: (42) lies in this interval, so (\sqrt{42}) lies between (6) and (7). Step 3: Square the boundary numbers to understand square-root intervals.
Frequently asked questions
What is the correct answer to this question?
(42)
Why is this the correct answer?
Step 1: (6<\sqrt{t}<7) means (36<t<49). Step 2: (42) lies in this interval, so (\sqrt{42}) lies between (6) and (7). Step 3: Square the boundary numbers to understand square-root intervals.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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