Question

Find all the real square roots of $0.0064$

• A. $0.08\mathrm{and}–0.08$
• B. $0.0253\mathrm{and}–0.0253$
• C. $0.0032\mathrm{and}–0.0032$
• D. $0.25298\mathrm{and}–0.25298$

Answer 1

The correct option is A

$0.08\mathrm{and}–0.08$

Square root of $0.0064$:

Explanation for the correct option:

Option $B$: First consider only $64$, the square root of $64=+8\mathrm{or}-8.$

Now check the decimal point, in this case, there are four decimal points so in the square root there will be half decimal points.

thus the square roots are $+0.08\mathrm{and}-0.08.$

So the correct option is option $A$,

Explanation for the incorrect answer:

Option $B$, Option $C$, Option $D$: There can be only two possible square roots of a positive number which is determined above and he answers $0.0253\mathrm{and}-0.0253,0.0032\mathrm{and}-0.0032,0.25298\mathrm{and}-0.25298$ are not the square roots of $0.0064$

Hence, Option $B$, Option $C$, and Option $D$ are incorrect options.

Hence, the correct option is option $A$.