Question

find the square root of 6400 by using prime factorization method

Answer 1

2 |6400
2 |3200
2 |1600
2 |800
2 |400
2 |200
2 |100
2 |50
5 |25
5 |5
5 |1

Square Root = _/6400
                     =_/2*2*2*2*2*2*2*2*5*5
                     = 2*2*2*2*5
                     = 80

80 is the answer. :)

Answer 2

Answer:

$\sqrt{6400} = 80$

Step-by-step explanation:

We are supposed to find the square root of 6400

2 |6400

2 |3200

2 |1600

2 |800

2 |400

2 |200

2 |100

2 |50

5 |25

5 |5

  |1

So, $6400 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5$

$\sqrt{6400} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5}$

$\sqrt{6400} =2 \times 2 \times 2 \times 2 \times 5$

$\sqrt{6400} = 80$

Hence $\sqrt{6400} = 80$