Solve for m V = square root of (FR)/m

$V = \sqrt{\frac{F R}{m}}$

Rewrite the equation as $\sqrt{\frac{F R}{m}} = V$ .

$\sqrt{\frac{F R}{m}} = V$

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

${\sqrt{\frac{F R}{m}}}^{2} = V^{2}$

Simplify each side of the equation.

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

${({(\frac{F R}{m})}^{\frac{1}{2}})}^{2} = V^{2}$

Simplify the left side.

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

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

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

${(\frac{F R}{m})}^{\frac{1}{2} \cdot 2} = V^{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

${(\frac{F R}{m})}^{\frac{1}{2} \cdot 2} = V^{2}$

Rewrite the expression.

${(\frac{F R}{m})}^{1} = V^{2}$

Simplify.

$\frac{F R}{m} = V^{2}$

Solve for $m$ .

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$m, 1$

The LCM of one and any expression is the expression.

$m$

Multiply each term in $\frac{F R}{m} = V^{2}$ by $m$ to eliminate the fractions.

Multiply each term in $\frac{F R}{m} = V^{2}$ by $m$ .

$\frac{F R}{m} m = V^{2} m$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{F R}{m} m = V^{2} m$

Rewrite the expression.

$F R = V^{2} m$

Solve the equation.

Rewrite the equation as $V^{2} m = F R$ .

$V^{2} m = F R$

Divide each term in $V^{2} m = F R$ by $V^{2}$ and simplify.

Divide each term in $V^{2} m = F R$ by $V^{2}$ .

$\frac{V^{2} m}{V^{2}} = \frac{F R}{V^{2}}$

Simplify the left side.

Cancel the common factor of $V^{2}$ .

Cancel the common factor.

$\frac{V^{2} m}{V^{2}} = \frac{F R}{V^{2}}$

Divide $m$ by $1$ .

$m = \frac{F R}{V^{2}}$

Solve for m V = square root of (FR)/m

Related Questions

Support LCMGCF.com by disabling your adblocker.