Basic Math Examples

$\sqrt{1.3 \cdot 10^{- 3}}$

Step 1

Rewrite $1.3 \cdot 10^{- 3}$ as $0.13 \cdot 10^{- 2}$ .

$\sqrt{0.13 \cdot 10^{- 2}}$

Step 2

Rewrite $\sqrt{0.13 \cdot 10^{- 2}}$ as $\sqrt{0.13} \cdot \sqrt{10^{- 2}}$ .

$\sqrt{0.13} \cdot \sqrt{10^{- 2}}$

Step 3

Evaluate the root.

$0.36055512 \cdot \sqrt{10^{- 2}}$

Step 4

Rewrite $10^{- 2}$ as ${(10^{- 1})}^{2}$ .

$0.36055512 \cdot \sqrt{{(10^{- 1})}^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$0.36055512 \cdot 10^{- 1}$

Step 6

Move the decimal point in $0.36055512$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$3.60555127 \cdot 10^{- 2}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$3.60555127 \cdot 10^{- 2}$

Expanded Form:

$0.03605551$