Solve 24sqrt{5}=x*6sqrt{2}*sqrt{5}

$$24 \sqrt { 5 } = x \times 6 \sqrt { 2 } \times \sqrt { 5 }$$

Solve for x

$$x=2\sqrt{2}\approx 2.828427125$$

Steps for Solving Linear Equation

To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.

$$24\sqrt{5}=6x\sqrt{10}$$

Swap sides so that all variable terms are on the left hand side.

$$6x\sqrt{10}=24\sqrt{5}$$

The equation is in standard form.

$$6\sqrt{10}x=24\sqrt{5}$$

Divide both sides by 6\sqrt{10}.

$$\frac{6\sqrt{10}x}{6\sqrt{10}}=\frac{24\sqrt{5}}{6\sqrt{10}}$$

Dividing by 6\sqrt{10} undoes the multiplication by 6\sqrt{10}.

$$x=\frac{24\sqrt{5}}{6\sqrt{10}}$$

Divide 24\sqrt{5} by 6\sqrt{10}.

$$x=2\sqrt{2}$$