**Chapter 6 Indices Set 6.5**

Question 1.

Find the square root:

i. 625

ii. 1225

iii. 289

iv. 4096

v. 1089

Solution:

i. 625

∴ 625 = 5 x 5 x 5 x 5

∴ √625 = 5 x 5 = 25

ii. 1225

∴ 1225 = 5 x 5 x 7 x 7

∴ √1225 = 5 x 7 = 35

iii. 289

∴ 289 = 17 x 17

∴ √289 = 17

iv. 4096

∴ 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

∴ √4096 = 2 x 2 x 2 x 2 x 2 x 2

= 64

v. 1089

∴ 1089 = 3 x 3 x 11 x 11

∴ √1089 = 3 x 11

= 33

**Intext Questions and Activities**

Question 1.

Try to write the following numbers in the standard form. (Textbook pg. no. 48)

i. The diameter of Sun is 1400000000 m.

ii. The velocity of light is 300000000 m/sec.

Solution:

i. 1400000000 m = 1.4 x 10^{9} m

ii. 300000000 m/s = 3.0 x 10^{8} m/sec.

Question 2.

The box alongside shows the number called Googol. Try to write it as a power of 10. (Textbook pg. no. 48)

Solution:

1 x 10^{100}