# Ex.6.3 Q1 Squares and Square Roots - NCERT Maths Class 8

Go back to  'Ex.6.3'

## Question

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

(i) $$9801$$

(ii) $$99856$$

(iii) $$998001$$

(iv) $$657666025$$

## Text Solution

What is known?

Square of numbers.

What is unknown?

Unit digit of square root.

Reasoning:

If the number ends with $$1$$, then the one’s digit of the square root of that number may be $$1$$ or $$9$$

If number ends with $$6$$, the one’s digit of the square root of that number may be $$4$$ or $$6.$$

If number ends with $$5$$, the one’s digit of square root of that number will be $$5$$. (Page $$100$$ of Grade $$8$$  NCERT Book)

Steps :

(i) $$9801$$

Since the number ends with $$1$$, the one’s digit of the square root may be $$1$$ or $$9.$$

(ii) $$99856$$

Since the number ends with $$6$$, the one’s digit of the square root may be $$4$$ or $$6.$$

(iii) $$998001$$

Since the number ends with $$1$$, the one’s digit of the square root may be $$1$$ or $$9$$.

(iv) $$657666025$$

Since the number ends with $$5,$$ the one’s digit of the square root will be $$5.$$

Learn from the best math teachers and top your exams

• Live one on one classroom and doubt clearing
• Practice worksheets in and after class for conceptual clarity
• Personalized curriculum to keep up with school