**NCERT Solutions Class 8 Maths Chapter 6 Squares and Square Roots**

**NCERT Class 8 Maths Chapter 6 Squares and Square Roots :**

- NCERT Class 8 Maths Squares and Square Roots Exercise 6.1
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.2
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.3
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.4

**NCERT Class 8 Maths Exercise 6.1 (Page-96)**

**Q1.** What will be the unit digit of the squares of the following numbers?

(ii)272

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,272\text{ }} \\ {So,\text{ }unit\text{ }digit\,of\,272=2} \\ {and\text{ }square\text{ }of\,{{2}^{2}}=4~} \end{array}\)

(iii) 799

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,799} \\ {So,\text{ }unit\text{ }digit\,of\,799=9} \\ {and\text{ }square\text{ }of\,{{9}^{2}}=81} \end{array}\)

(iv) 3853

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,3853} \\ {So,\text{ }unit\text{ }digit\,of\,3853=3} \\ {and\text{ }square\text{ }of\,{{3}^{2}}=9} \end{array}\)

(v) 1234

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,1234} \\ {So,\text{ }unit\text{ }digit\,of\,1234=4} \\ {and\text{ }square\text{ }of\,{{4}^{2}}=16} \end{array}\)

(vi) 20387

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,20387} \\ {So,\text{ }unit\text{ }digit\,of\,20387=7} \\ {and\text{ }square\text{ }of\,{{7}^{2}}=49} \end{array}\)

(vii) 52698

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,52698} \\ {So,\text{ }unit\text{ }digit\,of\,52698=8} \\ {and\text{ }square\text{ }of\,{{8}^{2}}=64} \end{array}\)

(viii) 99880

**Solution ****:**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,99880} \\ {So,\text{ }unit\text{ }digit\,of\,99880=0} \\ {and\text{ }square\text{ }of\,{{0}^{2}}=0} \end{array}\)

(ix)12796

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,12796} \\ {So,\text{ }unit\text{ }digit\,of\,12796=6} \\ {and\text{ }square\text{ }of\,{{6}^{2}}=36} \end{array}\)

(x) 55555

**Solution :**

\(\displaystyle \begin{array}{*{20}{l}} {We\text{ }have\text{ }number:\,55555} \\ {So,\text{ }unit\text{ }digit\,of\,55555=5} \\ {and\text{ }square\text{ }of\,{{5}^{2}}=25} \end{array}\)

**Q2.** The following numbers are not perfect squares. Give reason.

(i) 1057

**Solution :**

(ii) 23453

**Solution :**

(iii) 7928

**Solution :**

(iv) 222222

**Solution :**

(v) 64000

**Solution :**

(vi) 89722

**Solution :**

(vii) 222000

**Solution :**

(viii) 505050

**Solution :**

**Q3.**The squares of which of the following would be odd numbers?

(i) 431 (ii) 2826 (iii) 7779 (iv) 82004

**Q4. **Observe the following pattern and find the missing digits.

\(\displaystyle \begin{array}{l}{{11}^{2}}=121\\{{101}^{2}}=10201\\{{1001}^{2}}=1002001\\{{100001}^{2}}=1...2...1\\{{10000001}^{2}}=...\end{array}\)

**Solution : **

**Q5.**Observe the following pattern and supply the missing numbers.

**Solution :**

**Q6. **Using the given pattern, find the missing numbers.

**Q7.**Without adding, find the sum.

**Q8. (i)** Express 49 as the sum of 7 odd numbers.

**(ii) **Express 121 as the sum of 11 odd numbers.

**Q9. **How many numbers lie between squares of the following numbers.

- NCERT Class 8 Maths Squares and Square Roots Exercise 6.1
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.2
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.3
- NCERT Class 8 Maths Squares and Square Roots Exercise 6.4