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If (h^3=2197) then what is the value of (h)?
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Answer and explanation
Correct answer: 13
Since \(h^3=2197\), the value of \(h\) is the cube root of 2197. As \(13^3=13\times13\times13=2197\), \(h=13\). The cubes of 12 and 14 are 1728 and 2744 respectively, so they are not correct. Exam tip: Recognise perfect cubes by recalling the cubes of nearby integers.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
Since \(h^3=2197\), the value of \(h\) is the cube root of 2197. As \(13^3=13\times13\times13=2197\), \(h=13\). The cubes of 12 and 14 are 1728 and 2744 respectively, so they are not correct. Exam tip: Recognise perfect cubes by recalling the cubes of nearby integers.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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