Solve for D 45.8 = square root of 30*D*0.7*1

$45.8 = \sqrt{30 \cdot D \cdot 0.7 \cdot 1}$

Rewrite the equation as $\sqrt{30 \cdot D \cdot 0.7 \cdot 1} = 45.8$ .

$\sqrt{30 \cdot D \cdot 0.7 \cdot 1} = 45.8$

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

${\sqrt{30 \cdot D \cdot 0.7 \cdot 1}}^{2} = {45.8}^{2}$

Simplify each side of the equation.

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Multiply the exponents in ${({(30 \cdot D \cdot 0.7 \cdot 1)}^{\frac{1}{2}})}^{2}$ .

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

${(30 \cdot D \cdot 0.7 \cdot 1)}^{\frac{1}{2} \cdot 2} = {45.8}^{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

${(30 \cdot D \cdot 0.7 \cdot 1)}^{\frac{1}{2} \cdot 2} = {45.8}^{2}$

Rewrite the expression.

${(30 \cdot D \cdot 0.7 \cdot 1)}^{1} = {45.8}^{2}$

Multiply $0.7$ by $30$ .

${(21 D \cdot 1)}^{1} = {45.8}^{2}$

Multiply $21$ by $1$ .

${(21 D)}^{1} = {45.8}^{2}$

Simplify.

$21 D = {45.8}^{2}$

Raise $45.8$ to the power of $2$ .

$21 D = 2097.64$

Divide each term by $21$ and simplify.

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Divide each term in $21 D = 2097.64$ by $21$ .

$\frac{21 D}{21} = \frac{2097.64}{21}$

Cancel the common factor of $21$ .

$D = \frac{2097.64}{21}$

Divide $2097.64$ by $21$ .

$D = 99.88761904$

Solve for D 45.8 = square root of 30*D*0.7*1

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