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If (\sqrt{t}) lies between (7) and (8), which value of (t) is possible?
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Answer and explanation
Correct answer: (57)
Step 1: (7<\sqrt{t}<8) means (49<t<64). Step 2: (57) lies in this interval, so (\sqrt{57}) lies between (7) and (8). Step 3: Square the boundary numbers to understand square-root intervals.
Frequently asked questions
What is the correct answer to this question?
(57)
Why is this the correct answer?
Step 1: (7<\sqrt{t}<8) means (49<t<64). Step 2: (57) lies in this interval, so (\sqrt{57}) lies between (7) and (8). 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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