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Find the square root of each of the following numbers by using the method of prime factorization:

(a) 121

(b) 441

(c) 625

(d) 729

(e) 1521

(f) 2025

(g) 4096

(h) 5776

(i) 8100

(j) 9216

(k) 11236

(l) 15876

(m) 18496

Solution

Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

- 1008
- 1280
- 1875

676 students are to be sit in a hall in such a way that each row contains as many students as the number of rows. Find the number of rows and the number of students in each row.

Solution

What could be the possible ‘one’s’ digits of the square root of each of the following numbers?

(i) 1801

(ii) 856

(iii) 1008001

(iv) 6577525

Solution

The students of a class arranged a gift for the class teacher. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 1521, find the strength of the class.

Solution

Find the least number which when added to 4529 to make it a perfect square?

Solution

Find the least number which must be subtracted from 2361 to make it a perfect square?

Solution

Find the smallest number by which following number must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.

(i)600

(ii)2904

Solution

Find the value of

$ \sqrt {176 + \sqrt {2401}}$

Solution

Find the square root

(i).0151129

(ii) 83.3569

Solution

(i)There are _________ perfect squares between 1 and 100

(ii) The square of a proper fraction is ______ than to the fraction

(iii) The square of a even number is _____

(iv) $\sqrt{4096}$ is ____

(v) The digit at the ones place of $37^2$ is ____

(vi) the least number that must be added to 1500 so as to get a perfect square is ___

Solution

(i)The square root of 0.64 is 0.8.

(ii) There is no square number between 70 and 80.

(iii)6292 is not a perfect square

(iv) 1000 is a perfect square.

(v) The product of two perfect squares is a perfect square

(vi)The number of digits in a perfect square is even

Solution

Which of the following is not a perfect square number?

(a) 1156

(b) 4657

(c)4624

(d) 7056

A perfect square can never have the following digit in its ones place

(a) 8

(b) 4

(b) 0

(d) 1

The sum of first n odd natural numbers is

(a)$n^2$

(b) $2n$

(c) $n^2 +1$

(d) $n^2 -1$

$\sqrt {.9} $ is

(a).3

(b) .03

(c).94

(d).33

The area of the square field is 234.09 m

(a)65.2 m

(b)59.6 m

(c)51.2 m

(d)61.2 m

The value of x in $\sqrt {1 + \frac {25}{144}} = 1 + \frac {x}{12}$ is

(a)2

(b) 1

(c) 4

(d) 5

Given that $\sqrt {5625} =75$, the value of $\sqrt {0.5625} + \sqrt {56.25}$ is:

(a) 82.5

(b) 0.75

(c) 8.25

(d) 75.05

Which of the following is a pythogorean triplet?

(a) 2,3,4

(b) 6,8,10

(c) 5,7,9

(d) none of these

Solution

Solution

This square and square roots class 8 worksheet is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this also using the below link

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