Students can refer to and download the RD Sharma Solutions for Exercise 3.8 of Class 8 Maths Chapter 3, Squares and Square roots, from the link available here. Our experts have designed the RD Sharma Solutions to ensure that the students are thorough with the concepts covered in this chapter by practising the solutions. Exercise 3.8 of Class 8 is about finding the approximate values of square roots by the method of long division. Students are advised to practise the RD Sharma Solutions Class 8 for a better understanding of the concepts, which in turn helps them in securing high marks in the final examination.
RD Sharma Solutions for Class 8 Maths Chapter 3 Squares and Square Roots Exercise 3.8
Access Answers to RD Sharma Solutions for Class 8 Maths Exercise 3.8 Chapter 3 Squares and Square Roots
EXERCISE 3.8 PAGE NO: 3.56
1. Find the square root of each of the following correct to three places of decimal.
(i) 5 (ii) 7
(iii) 17 (iv) 20
(v) 66 (vi) 427
(vii) 1.7 (viii) 23.1
(ix) 2.5 (x) 237.615
(xi) 15.3215 (xii) 0.9
(xiii) 0.1 (xiv) 0.016
(xv) 0.00064 (xvi) 0.019
(xvii) 7/8 (xviii) 5/12
(xix) 2 1/2 (xx) 287 5/8
Solution:
(i) 5
By using the long division method
∴ the square root of 5 is 2.236
(ii) 7
By using the long division method
∴ the square root of 7 is 2.646
(iii) 17
By using the long division method
∴ the square root of 17 is 4.123
(iv) 20
By using the long division method
∴ the square root of 20 is 4.472
(v) 66
By using the long division method
∴ the square root of 66 is 8.124
(vi) 427
By using the long division method
∴ the square root of 427 is 20.664
(vii) 1.7
By using the long division method
∴ the square root of 1.7 is 1.304
(viii) 23.1
By using the long division method
∴ the square root of 23.1 is 4.806
(ix) 2.5
By using the long division method
∴ the square root of 2.5 is 1.581
(x) 237.615
By using the long division method
∴ the square root of 237.615 is 15.415
(xi) 15.3215
By using the long division method
∴ the square root of 15.3215 is 3.914
(xii) 0.9
By using the long division method
∴ the square root of 0.9 is 0.949
(xiii) 0.1
By using the long division method
∴ the square root of 0.1 is 0.316
(xiv) 0.016
By using the long division method
∴ the square root of 0.016 is 0.126
(xv) 0.00064
By using the long division method
∴ the square root of 0.00064 is 0.025
(xvi) 0.019
By using the long division method
∴ the square root of 0.019 is 0.138
(xvii) 7/8
By using the long division method
∴ the square root of 7/8 is 0.935
(xviii) 5/12
By using the long division method
∴ the square root of 5/12 is 0.645
(xix) 2 1/2
By using the long division method
∴ the square root of 5/2 is 1.581
(xx) 287 5/8
By using the long division method
∴ the square root of 2301/8 is 16.960
2. Find the square root of 12.0068 correct to four decimal places.
Solution:
By using the long division method
∴ the square root of 12.0068 is 3.4651
3. Find the square root of 11 correct to five decimal places.
Solution:
By using the long division method
∴ the square root of 11 is 3.31662
4. Give that: √2 = 1.414, √3 = 1.732, √5 = 2.236 and √7 = 2.646, evaluate each of the following:
(i) √ (144/7)
(ii) √ (2500/3)
Solution:
(i) √ (144/7)
Now let us simplify the given equation
√ (144/7) = √ (12×12)/ √7
= 12/ 2.646
= 4.535
(ii) √ (2500/3)
Now let us simplify the given equation
√ (2500/3) = √ (5×5×10×10) /√3
= 5×10/ 1.732
= 50/1.732
= 28.867
5. Given that √2 = 1.414, √3 = 1.732, √5 = 2.236 and √7 = 2.646 find the square roots of the following:
(i) 196/75
(ii) 400/63
(iii) 150/7
(iv) 256/5
(v) 27/50
Solution:
(i) 196/75
Let us find the square root for196/75
√(196/75) = √(196)/ √ (75)
= √(14×14)/ √ (5×5×3)
= 14/ (5√3)
= 14/ (5×1.732)
= 14/8.66
= 1.617
(ii) 400/63
Let us find the square root for400/63
√(400/63) = √(400)/ √ (63)
= √(20×20)/ √ (3×3×7)
= 20/ (3√7)
= 20/ (3×2.646)
= 20/7.938
= 2.520
(iii) 150/7
Let us find the square root for150/7
√(150/7) = √(150)/ √ (7)
= √(3×5×5×2)/ √ (7)
= (5√3×√2)/ (√7)
= 5×1.732×1.414/ (2.646)
= 12.245/2.646
= 4.628
(iv) 256/5
Let us find the square root for256/5
√(256/5) = √(256)/ √ (5)
= √(16×16)/ √ (5)
= 16/ (√5)
= 16/2.236
= 7.155
(v) 27/50
Let us find the square root for27/50
√(27/50) = √(27)/ √ (50)
= √(3×3×3)/ √ (5×5×2)
= (3√3)/ (5√2)
= (3×1.732)/ (5×1.414)
= 5.196/7.07
= 0.735
RD Sharma Solutions for Class 8 Maths Exercise 3.8 Chapter 3 – Squares and Square Roots
Exercise 3.8 of RD Sharma Solutions for Chapter 3 Squares and Square Roots, mainly deals with the concepts related to the long division method to find the approximate values of square roots. The RD Sharma Solutions can help the students practise and learn the fundamentals, as it provides the answers to all the questions in the RD Sharma textbook. Practising these solutions as many times as possible helps students in a better understanding of the concept and enhances their time management skills. It also boosts their confidence level and thus helps them achieve high marks in the final exam.
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