Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 3 - Squares and Square Root [Latest edition]

Find the square of 59.

Find the square of 6.3

Find the square of `15 2/3`

By splitting into prime factors, find the square root of 11025.

By splitting into prime factors, find the square root of 396900.

By splitting into prime factors, find the square root of 194481.

Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?

Find the smallest number by which 10368 be divided, so that the result is a perfect square. Also, find the square root of the resulting numbers.

Find the square root of 0.1764

Find the square root of `96 1/25`.

Find the square root of 0.0169.

Evaluate `sqrt((14.4)/(22.5)`

Evaluate:

`sqrt((0.225)/(28.9)`

Evaluate `sqrt(25/32 xx 2 13/18 xx 0.25)`

Evaluate `sqrt(1 4/5 xx 14 21/44 xx 2 7/55)`

Evaluate: `sqrt(3^2 xx 6^3 xx 24)`

Evaluate: `sqrt((0.5)^3 xx 6 xx 3^5)`

Evaluate: `sqrt((5 + 2 21/25) xx 0.169/1.6)`

Evaluate: `sqrt(5(2 3/4 - 3/10)`

Evaluate: `sqrt(248 + sqrt(52 + sqrt(144)`

A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296

Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.

13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Find two more such pairs.

Find the smallest perfect square divisible by 3, 4, 5 and 6.

If `sqrt784` = 28, find the value of:

`sqrt(7.84) + sqrt(78400)`

If `sqrt784` = 28, find the value of:

`sqrt(0.0784) + sqrt(0.000784)`

Find the square root of: 4761

Find the square root of: 7744

Find the square root of: 15129

Find the square root of: 0.2916

Find the square root of: 001225

Find the square root of: 0.023104

Find the square root of: 27.3529

Find the square root of: 4.2025

Find the square root of: 531.7636

Find the square root of: 0.007225

Find the square root of 245 correct to two places of decimal. 

Find the square root of 496 correct to three places of decimal.

Find the square root of 82.6 correct to two places of decimal.

Find the square root of 0.065 correct to three places of decimal.

Find the square root of 5.2005 correct to two places of decimal.

Find the square root of: 0.602 correct to two places of decimal

Find the square root of the following correct to two decimal place: `3 4/5`

Find the square root of the following correct to two decimal place: `6 7/8`

For the following, find the least number that must be subtracted so that the resulting number is a perfect square.
796

For the following, find the least number that must be subtracted so that the resulting number is a perfect square.
1886

For the following, find the least number that must be subtracted so that the resulting number is a perfect square. 23497

For the following, find the least number that must be added so that the resulting number is a perfect square 511.

For the following, find the least number that must be added so that the resulting number is a perfect square 7172.

For the following, find the least number that must be added so that the resulting number is a perfect square 55078.

Find the square root of 7 correct to two decimal places; then use it to find the value of `sqrt((4+sqrt(7))/(4-sqrt(7)` correct to three significant digits.

Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.

Find the square root of: `(1764)/(2809)`

Find the square root of: `(507)/(4107)`

Find the square root of: `sqrt(108 xx 2028)`

Find the square root of: `0.01 + sqrt(0.0064)`

Find the square root of 7.832 correct to: 2 decimal places

Find the square root of 7.832 correct to: 2 significant digits.

Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.

Find the least number which must be added to 1205 so that the resulting number is a perfect square.

Find the least number which must be subtracted from 2037 so that the resulting number is a perfect square.

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699

Squares of which of the following numbers will have 1 (one) at their unit’s place :
(i) 57
(ii) 81
(iii) 139
(iv) 73
(v) 64

Which of the following numbers will not have 1 (one) at their unit’s place :
(i) 322
(ii) 572
(iii) 692
(iv) 3212
(v) 2652

Square of which of the following numbers will not have 6 at their unit’s place :
(i) 35
(ii) 23
(iii) 64
(iv) 76
(v) 98

Which of the following numbers will have 6 at their unit’s place :
(i) 262
(ii) 492
(iii) 342
(iv) 432
(v) 2442

If a number ends with 3 zeroes, how many zeroes will its square have?

If the square of a number ends with 10 zeroes, how many zeroes will the number have?

Is it possible for the square of a number to end with 5 zeroes ? Give reason.

Give reason to show that none of the numbers, given below, is a perfect square.
(i) 2162
(ii) 6843
(iii) 9637
(iv) 6598

State, whether the square of the following number is even or odd?

23

State, whether the square of the following number is even or odd?

54

State, whether the square of the following number is even or odd?

76

State, whether the square of the following number is even or odd?

75

Give reason to show that none of the numbers 640, 81000 and 3600000 is a perfect

Evaluate: 37² – 36²

Evaluate: 85² – 84²

Evaluate: 101² – 100²

Without doing the actual addition, find the sum of:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Without doing the actual addition, find the sum of:

1 + 3 + 5 + 7 + 9 + ……………… + 39 + 41.

Without doing the actual addition, find the sum of:

1 + 3 + 5 + 7 + 9 + ………………… + 51 + 53

Write three sets of Pythagorean triplets such that each set has numbers less than 30.