Cube of 8 is 512 then cube root of 512 is. (a)3 (b)7 (c)13 (d)9 answer...
Explanation:
To find the cube root of 512, we need to find a number which when multiplied by itself three times gives us 512.
Let's try to find the cube root of 512 through a few simple calculations.
Method 1: Prime Factorization
We can use prime factorization to find the cube root of a number. Here's how:
- Prime factorize 512: 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
- Group the factors in threes: (2 x 2 x 2) x (2 x 2 x 2) x (2 x 2 x 2)
- Take one factor from each group and multiply them: 2 x 2 x 2 = 8
- This means that the cube root of 512 is 8.
Method 2: Trial and Error
We can also use trial and error to find the cube root of a number. Here's how:
- Start with a number and cube it: 1^3 = 1, 2^3 = 8, 3^3 = 27, 4^3 = 64, 5^3 = 125, 6^3 = 216, 7^3 = 343, 8^3 = 512
- We see that 8^3 = 512, so the cube root of 512 is 8.
Therefore, the answer is (a) 3.
Cube of 8 is 512 then cube root of 512 is. (a)3 (b)7 (c)13 (d)9 answer...
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