RS Aggarwal Class 8 Math Third Chapter Squares and Square Roots Exercise 3C Solution

RS Aggarwal Class 8 Math Third Chapter Squares and Square Roots Exercise 3C Solution

EXERCISE 3C

Find the value of the following, using the column method:

(1) (23)2

Solution: Given number 23 = 20 + 3

Here, a = 20 and b = 3

a2 2ab b2
(20)2 = 400 2 × 20 × 3 = 120 (3)2 = 9

∴ (23)2 = (400 + 120 + 9) = 529

(2) (35)2

Solution: Given number 35 = 30 + 5

Here, a = 30 and b = 5

a2 2ab b2
(30)2 = 900 2 × 30 × 5 = 300 (5)2 = 25

∴ (35)2 = (900 + 300 + 25) = 1225.

(3) (52)2

Solution: Given number 52 = 50 + 2

Here, a = 50 and b = 2

a2 2ab b2
(50)2 = 2500 2 × 50 × 2 = 200 (2)2 = 4

∴ (52)2 = (2500 + 200 + 4) = 2704.

(4) (96)2

Solution: Given number 96 = 90 + 6

Here, a = 90 and b = 6

a2 2ab b2
(90)2 = 8100 2 × 90 × 6 = 1080 (6)2 = 36

∴ (23)2 = (8100 + 1080 + 36) = 9216.

Find the value of each of the following, using the diagonal method:

(5) (67)2

(6) (86)2

(7) (137)2

(8) (256)2

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