Exercise 5.3 | Chapter 5 Squares and Square Roots | Class 8 Maths | New Syllabus 2026

Exercise 5.3 | Chapter 5 Squares and Square Roots | Class 8 Maths NCERT New Syllabus 2025-26

EXERCISE 5.2
1. Find the square of the following numbers.
(i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46
2. Write a Pythagorean triplet whose one member is.
(i) 6 (ii) 14 (iii) 16 (iv) 18
निष्‍कर्ष 5.2
1. निम्नलिखित संख्याओं का वर्ग ज्ञात कीजिए।
(i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46
2. एक पायथागॉरियन ट्रिपल लिखें जिसका एक सदस्य है।
(i) 6 (ii) 14 (iii) 16 (iv) 18
Exercise 5.3
00:00 Q1 What could be the possible ‘one’s’ digits of the square root of each of the following numbers?
05:00 Q2 Without doing any calculation, find the numbers which are surely not perfect squares.
10:00 Q3 Find the square roots of 100 and 169 by the method of repeated subtraction.
15:00 Q4 Find the square roots of the following numbers by the Prime Factorisation Method.
20:00 Q5 For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
25:00 Q6 For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained.
30:00 Q7 The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
35:00 Q8 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
40:00 Q9 Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.
45:00 Q10 Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

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