Solve for t t = square root of m/4.9

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

Multiply by $1$ .

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

Factor $4.9$ out of $4.9$ .

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

Separate fractions.

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

Divide $1$ by $4.9$ .

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

Divide $m$ by $1$ .

$t = \sqrt{0.20408163 m}$

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

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

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

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

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

Pull terms out from under the radical.

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

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

$t = 0.45175395 \sqrt{m}$