Question

Find the square roots of the following by prime factorization:
a) 1,936
(b) 3,844
(c) 5,184​

Answer 1

Answer:

Step-by-step explanation:

a.1936:- 1936÷2=968

968÷2=484

484÷2=121

121÷11=11

11÷11=0

b. 5184:- 5184÷2=2584

2592÷2=1296

1296÷2=648

648÷2=324

324÷2=162

162÷2=81

81÷3=27

27÷3=9

9÷3=3

3÷3=0

c. 2500:- 2500÷2=1250

1250÷2=625

625÷5=125

125÷5=25

25÷5=5

5÷5=0

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Answer 2

Answer:

a) √44

b) √62

c) √72

Step-by-step explanation:

a)

1936 = 2 x 2 x 2 x 2 x 11 x 11

= 2² × 2² × 11²

= √2×2×11

= √44

b)

3844 = 2 × 2 × 31 × 31

= 2² × 31²

= √2×31

= √62

c)

5184 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

= 2² × 2² × 2² × 3² × 3²

= √2×2×2×3×3

= √72

Hope it helps you:)