Solve BC=sqrt{100*9*61}

$$BC = \sqrt{ 100 \cdot 9 \cdot 61 }$$

Solve for B

$$B=\frac{30\sqrt{61}}{C}$$

$$C\neq 0$$

Steps for Solving Linear Equation

Multiply 100 and 9 to get 900.

$$BC=\sqrt{900\times 61}$$

Multiply 900 and 61 to get 54900.

$$BC=\sqrt{54900}$$

Factor 54900=30^{2}\times 61. Rewrite the square root of the product \sqrt{30^{2}\times 61} as the product of square roots \sqrt{30^{2}}\sqrt{61}. Take the square root of 30^{2}.

$$BC=30\sqrt{61}$$

The equation is in standard form.

$$CB=30\sqrt{61}$$

Divide both sides by C.

$$\frac{CB}{C}=\frac{30\sqrt{61}}{C}$$

Dividing by C undoes the multiplication by C.

$$B=\frac{30\sqrt{61}}{C}$$

Solve for C

$$C=\frac{30\sqrt{61}}{B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply 100 and 9 to get 900.

$$BC=\sqrt{900\times 61}$$

Multiply 900 and 61 to get 54900.

$$BC=\sqrt{54900}$$

Factor 54900=30^{2}\times 61. Rewrite the square root of the product \sqrt{30^{2}\times 61} as the product of square roots \sqrt{30^{2}}\sqrt{61}. Take the square root of 30^{2}.

$$BC=30\sqrt{61}$$

Divide both sides by B.

$$\frac{BC}{B}=\frac{30\sqrt{61}}{B}$$

Dividing by B undoes the multiplication by B.

$$C=\frac{30\sqrt{61}}{B}$$