Solve for R s=4.95 square root of R

$s = 4.95 \sqrt{R}$

Rewrite the equation as $4.95 \sqrt{R} = s$ .

$4.95 \sqrt{R} = s$

Divide each term in $4.95 \sqrt{R} = s$ by $4.95$ and simplify.

Divide each term in $4.95 \sqrt{R} = s$ by $4.95$ .

$\frac{4.95 \sqrt{R}}{4.95} = \frac{s}{4.95}$

Simplify the left side.

Cancel the common factor of $4.95$ .

Cancel the common factor.

$\frac{4.95 \sqrt{R}}{4.95} = \frac{s}{4.95}$

Divide $\sqrt{R}$ by $1$ .

$\sqrt{R} = \frac{s}{4.95}$

Simplify the right side.

Multiply by $1$ .

$\sqrt{R} = \frac{1 s}{4.95}$

Factor $4.95$ out of $4.95$ .

$\sqrt{R} = \frac{1 s}{4.95 (1)}$

Separate fractions.

$\sqrt{R} = \frac{1}{4.95} \cdot \frac{s}{1}$

Divide $1$ by $4.95$ .

$\sqrt{R} = 0.\overline{20} \frac{s}{1}$

Divide $s$ by $1$ .

$\sqrt{R} = 0.\overline{20} s$

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{R}}^{2} = {(0.\overline{20} s)}^{2}$

Simplify each side of the equation.

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{R}$ as $R^{\frac{1}{2}}$ .

${(R^{\frac{1}{2}})}^{2} = {(0.\overline{20} s)}^{2}$

Simplify the left side.

Simplify ${(R^{\frac{1}{2}})}^{2}$ .

Multiply the exponents in ${(R^{\frac{1}{2}})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$R^{\frac{1}{2} \cdot 2} = {(0.\overline{20} s)}^{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$R^{\frac{1}{2} \cdot 2} = {(0.\overline{20} s)}^{2}$

Rewrite the expression.

$R^{1} = {(0.\overline{20} s)}^{2}$

Simplify.

$R = {(0.\overline{20} s)}^{2}$

Simplify the right side.

Simplify ${(0.\overline{20} s)}^{2}$ .

Apply the product rule to $0.\overline{20} s$ .

$R = {0.\overline{20}}^{2} s^{2}$

Raise $0.\overline{20}$ to the power of $2$ .

$R = 0.04081216 s^{2}$

Solve for R s=4.95 square root of R

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