Question

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.

Which expression has the greatest value?

A: 16 3/2

B: √16^2

C: 3√64^2

D: 3√8^4​

Answer 1

C due to the fact that it is C and C is the correct answer

Answer 2

16 3/2

Explanation:

So lets go thru each one.

16 3/2 is just 17.5

A square root cancels out a square.

A cubed root cancels out a cube.

So, in the next answer:

16 squared, to the square root is just 16, since the squaring and root cancels out.

64 sqaured to the cube root must be 16. Lets break it all down:

2^6=64. We need to square this, so we can rewrite it as:

64^2 =
`(2^6)^2`

Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite
`\sqrt[3]{64^2}` as:

`\sqrt[3]{2^1^2}`

Now, when we divide a exponent by a exponent, we subtract.

However, when we root a exponent, it is division.

So it is the 2
`(^1^2)/(^3)`

=

`2^4`

Or

16

Finally we have the cubed root of 8^4.

using the same steps as above, 8^4 =
`(2^3)^4`. This equals
`2^1^2`

Then again, we cube root it.

This is division of the 12 exponent by the 3 root, so we get:

`2^4`

=

16

So in the end:

A - 17.5

B - 16

C - 16

D - 16

So a is the largest number

Hope this helps!