Problem Solving

10.) Which of the following is the value of 3 √ 0.000064?

0.000064 is rewritten as 3 √ 64 X 10 ^ -6 (this I understand)

√ 4 x 10 ^ -2 (this is where I am lost, I understand square root of four because 4x4x4 = 64, but where is the 10 to the negative second power coming from?)

√4 x √ 10 ^ -2

2 x 10 ^ -1 (also here, why does 10 to the negative second power become 10 to the negative one power?)

= 0.2

Sorry I don't understand your question. May be you can try posting the whole question with options.

Still to answer your original question - What is the value of 3 √ 0.000064?

Answer is .04 (because .04 x .04 x .04 = 0.000064)

√.000064 =>

√(64/1000000) =>

√(8² / 1000²) =>

8/1000 =>

.008

If we want 3 * that, we get .024. If we want the cube root of that, we get 0.2.

melguy wrote:Sorry I don't understand your question. May be you can try posting the whole question with options.

I agree, the formatting isn't clear. It's hard to tell whether we're asked for 3 * √.000064, the cube root of .000064, or the cube root of the square root of .000064.