Algebra Examples

$t = \sqrt{\frac{m}{4.9}}$

Step 1

Multiply by $1$ .

$t = \sqrt{\frac{1 m}{4.9}}$

Step 2

Factor $4.9$ out of $4.9$ .

$t = \sqrt{\frac{1 m}{4.9 (1)}}$

Step 3

Separate fractions.

$t = \sqrt{\frac{1}{4.9} \cdot \frac{m}{1}}$

Step 4

Divide $1$ by $4.9$ .

$t = \sqrt{0.20408163 \frac{m}{1}}$

Step 5

Divide $m$ by $1$ .

$t = \sqrt{0.20408163 m}$

Step 6

Rewrite $0.20408163 m$ as ${({0.67212644}^{2})}^{2} m$ .

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Step 6.1

Rewrite $0.20408163$ as ${0.45175395}^{2}$ .

$t = \sqrt{{0.45175395}^{2} m}$

Step 6.2

Rewrite $0.45175395$ as ${0.67212644}^{2}$ .

$t = \sqrt{{({0.67212644}^{2})}^{2} m}$

$t = \sqrt{{({0.67212644}^{2})}^{2} m}$

Step 7

Pull terms out from under the radical.

$t = {0.67212644}^{2} \sqrt{m}$

Step 8

Raise $0.67212644$ to the power of $2$ .

$t = 0.45175395 \sqrt{m}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$