Question

3.Find the cube root of each of the following numbers using the prime factorisation method: 6400​

Answer 1

Step-by-step explanation:

=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 56400=2×2×2×2×2×2×2×2×5×5

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

6400

=

2×2×2×2×2×2×2×2×5×5

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

6400

=2×2×2×2×5

\sqrt{6400} = 80

6400

=80

Hence \sqrt{6400} = 80

6400

=80