## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 3 Squares and Square Roots Check Your Progress

Question 1.

Show that 1089 is a perfect square. Also, find the number whose square is 1089.

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Question 2.

Find the smallest number which should be multiplied by 3675 to make it a perfect square. Also, find the square root of this perfect square.

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Question 3.

Express 121 as the sum of 11 odd numbers.

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Question 4.

How many numbers lie between 99^{2} and 100^{2}?

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Question 5.

Write a Pythagorean triplet whose one number is 17.

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Question 6.

Find the smallest square number which is divisible by each of the numbers 6, 8, 9.

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Question 7.

In an auditorium, the number of rows is equal to a number of chairs in each row. If the capacity of the auditorium is 1764. Find the number of chairs in each row.

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Question 8.

Find the length of diagonal of a rectangle whose length and breadth are 12 m and 5 m respectively.

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Question 9.

Find the square root of 144 by successive subtraction.

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Question 10.

Find the square root of the following numbers by prime factorisation:

(i) 5625

(ii) 1521

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Question 11.

Find the square root of the following numbers by long division method:

(i) 21904

(ii) 108241

Solution:

Question 12.

Find the square root of following decimal numbers:

(i) 17.64

(ii) 13.3225

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Question 13.

Find the square root of the following fractions:

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Question 14.

Find the least number which must be subtracted from 2311 to make it a perfect square.

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Question 15.

Find the least number which must be added to 520 to make it a perfect square.

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Question 16.

Find the greatest number of 5 digits which is a perfect square.

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