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5. Squares, Square-Roots, Cubes and Cube-Roots
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Q3 of 67 Page 95

A student was asked to final √961. He read it wrongly and found √691 to the nearest integer. How much small was his number from the correct answer?

√961 = 31


262 = 676 < 691 < 27 = 729


⇒ 691 is nearer to 676.


Thus, the nearest integer to is 26.


Difference = 31 − 26 = 5


∴ His number was smaller than the correct answer by 5.


More from this chapter

All 67 →
1

Find the nearest integer to the square root of the following numbers:

(i) 232


(ii) 600


(iii) 728


(iv) 824


(v) 1729

2

A piece of land is in the shape of a square and its area is 1000 m2. This has to be fenced using barbed wire. The barbed wire is available only in integral lengths. What is the minimum length of the barbed wire that has to be bought for this purpose?

1

Looking at the pattern, fill in the gaps in the following:

2

Find the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about the parity of the odd cubes and even cubes?

Questions · 67
5. Squares, Square-Roots, Cubes and Cube-Roots
1 2 3 4 5 1 2 3 4 1 1 1 1 2 3 1 1 1 1 1 2 2 2 2 2 2 3 4 5 1 2 3 1 2 3 4 5 6 1 1 1 1 1 2 2 2 3 1 2 2 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
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