Question

Can someone help me with these questions??

Answer 1

a.)

784

/ \

2 392

/ \

2 196

/ \

2 98

/ \

2 49

/ \

7 7

√784 = 7² × 2^4

= 7² × 4²

= 28²

So, √784 = 28

b.)

2025

/ \

3 675

/ \

3 225

/ \

3 75

/ \

3 25

/ \

5 5

2025 = 5² × 3^4

= 5² × 9²

= 45²

So, √2025 = 45

c.)

9261

/ \

3 3087

/ \

3 1029

/ \

3 343

/ \

7 49

/ \

7 7

9261 = 7³ × 3³

= 21³

So, ³√9261 = 21

d.)

46656

/ \

2 23328

/ \

2 11664

/ \

2 5832

/ \

2 2916

/ \

2 1458

/ \

2 729

/ \

3 243

/ \

3 81

/ \

3 27

/ \

3 9

/ \

3 3

46.656 = 2³ × 3³ × 2³ × 3³

= 6³ × 6³

= 36³

So, ³√46.656 = 36

Hope it helps and is useful :)