Basic Math Examples

$B = 74 \sqrt{D}$

Step 1

Rewrite the equation as $74 \sqrt{D} = B$ .

$74 \sqrt{D} = B$

Step 2

Divide each term in $74 \sqrt{D} = B$ by $74$ and simplify.

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Step 2.1

Divide each term in $74 \sqrt{D} = B$ by $74$ .

$\frac{74 \sqrt{D}}{74} = \frac{B}{74}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $74$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{74 \sqrt{D}}{74} = \frac{B}{74}$

Step 2.2.1.2

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

$\sqrt{D} = \frac{B}{74}$

Step 3

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

${\sqrt{D}}^{2} = {(\frac{B}{74})}^{2}$

Step 4

Simplify each side of the equation.

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Step 4.1

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

${(D^{\frac{1}{2}})}^{2} = {(\frac{B}{74})}^{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

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

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Step 4.2.1.1

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

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Step 4.2.1.1.1

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

$D^{\frac{1}{2} \cdot 2} = {(\frac{B}{74})}^{2}$

Step 4.2.1.1.2

Cancel the common factor of $2$ .

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Step 4.2.1.1.2.1

Cancel the common factor.

$D^{\frac{1}{2} \cdot 2} = {(\frac{B}{74})}^{2}$

Step 4.2.1.1.2.2

Rewrite the expression.

$D^{1} = {(\frac{B}{74})}^{2}$

Step 4.2.1.2

Simplify.

$D = {(\frac{B}{74})}^{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify ${(\frac{B}{74})}^{2}$ .

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Step 4.3.1.1

Apply the product rule to $\frac{B}{74}$ .

$D = \frac{B^{2}}{74^{2}}$

Step 4.3.1.2

Raise $74$ to the power of $2$ .

$D = \frac{B^{2}}{5476}$