R s aggarwal solutions mathematics class 8 Solutions for Chapter 3 squares and square roots

Exercises in Chapter 3 squares and square roots Grade 8

Squares and Square Roots Exercise 3A

Squares and Square Roots Exercise 3B

Squares and Square Roots Exercise 3C

Squares and Square Roots Exercise 3D

Squares and Square Roots Exercise 3E

Squares and Square Roots Exercise 3F

Squares and Square Roots Exercise 3G

Squares and Square Roots Exercise 3H

Questions in Squares and Square Roots Exercise 3A

Using the prime factorization method, find which of the following numbers are perfect squares:

441

Using the prime factorization method, find which of the following numbers are perfect squares:

1176

Using the prime factorization method, find which of the following numbers are perfect squares: 5625

Using the prime factorization method, find which of the following numbers are perfect squares: 4225

Using the prime factorization method, find which of the following numbers are perfect squares:

1089

Show that each of the following numbers is a perfect square. In each case, find the number whose square is the given number:

2601

Show that each of the following numbers is a perfect square. In each case, find the number whose square is the given number:

8281

By what least number should the given number be multiplied to get a perfect square number? In each case, find the number whose square is the new number.

** ** 3332

By what least number should the given number be multiplied to get a perfect square number? In each case, find the number whose square is the new number.

** ** 9075

By what least number should the given number be divided to get a perfect square number? In each case, find the number whose square is the new number

1575

By what least number should the given number be divided to get a perfect square number? In each case, find the number whose square is the new number

4851

By what least number should the given number be divided to get a perfect square number? In each case, find the number whose square is the new number

** ** 4500

Find the largest number of 3 digits which is a perfect square.

Questions in Squares and Square Roots Exercise 3B

Give reason to show that none of the numbers given below is a perfect square:

5372

Give a reason to show that none of the numbers given below is a perfect square:

5963 ** **

Give a reason to show that none of the numbers given below is a perfect square:

9468

Which of the following are squares of even numbers?

625

Give a reason to show that none of the numbers given below is a perfect square:

2500000

Which of the following are squares of even numbers?

196

Which of the following are squares of even numbers?

441

Show that each of the following numbers is a perfect square. In each case, find the number whose square is the given number:

7056

Which of the following are squares of add numbers?

484

Which of the following are squares of add numbers?

7396

Which of the following are squares of add numbers?

8649

Which of the following are squares of add numbers?

4225

Without adding, find the sum:

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

Write a Pythagorean triplet whose smallest member is 6

Evaluate: (141)2 –(140)2

Using the formula (a + b)2=(a2 + 2ab + b2), evaluate:

(508)2

Using the formula (a + b)2=(a2 + 2ab + b2), evaluate:

(630)2

Using the formula (a – b)2=(a2 – 2ab + b2), evaluate:

(196)2

Using the formula $(a-b)^2=\left(a^2-2ab+b^2\right)$ , evaluate:

$(891)^2$

Evaluate: 69 X 71

Evaluate: 94 X 106

Evaluate: 88 X 92

Evaluate: 78 X 82

Fill in the blanks:

The square of an even number is……….

Fill in the blanks:

The square of an odd number is…………

Fill in the blanks:

The square of a proper fraction is………. then the given fraction.

Fill in the blanks:

$\mathbf{n}^2$ = the sum of first n ……… natural numbers.