# How do you simplify sqrt(6.4 times 10^3)?

Feb 3, 2016

The solution is 80. See how I manipulated the values into more manageable figures.

#### Explanation:

$6.4 \times {10}^{3} \text{ " =" } 64 \times {10}^{2}$

and ${8}^{2} = 64$

So write $\sqrt{6.4 \times {10}^{3}} \text{ as } \sqrt{{8}^{2} \times {10}^{2}}$

And this can be written as$\text{ } \sqrt{{8}^{2}} \times \sqrt{{10}^{2}}$

Which is$\text{ } 8 \times 10 = 80$