Cube root of 32768 with primefratorition method.
Answers
Answer:
Solution. To find the cube root of 32768, we use the method of unit digits. Let us consider the number 32768. The unit digit is 8; therefore, the unit digit in the cube root of 32768
Answer:
32
Explanation:
Given : Number = 32768
To Find : cube root of 32768
Solution:
We will use Prime Factorization to find cube root of 32768
2 | 32768
2 | 16384
2 | 8192
2 | 4096
2 | 2048
2 | 1024
2 | 512
2 | 256
2 | 128
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
| 1
So, 32768=2 \times 2 \times 2 \times 2 \times 2 \times 2\times 2 \times 2 \times 2\times 2 \times 2 \times 2\times 2 \times 2 \times 232768=2×2×2×2×2×2×2×2×2×2×2×2×2×2×2
32768=2^1532768=2
1
5
\sqrt[3]{32768} =\sqrt[3]{2^15}
3
32768
=
3
2
1
5
\sqrt[3]{32768} =2^5
3
32768
=2
5
\sqrt[3]{32768} =32
3
32768
=32
Hence cube root of 32768 is 32.