Solve x=frac{2sqrt{21*3}}{16}

$$x = \frac { 2 \sqrt { 21 \times 3 } } { 16 }$$

Solve for x

$$x=\frac{3\sqrt{7}}{8}\approx 0.992156742$$

Steps for Solving Linear Equation

Multiply 21 and 3 to get 63.

$$x=\frac{2\sqrt{63}}{16}$$

Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.

$$x=\frac{2\times 3\sqrt{7}}{16}$$

Multiply 2 and 3 to get 6.

$$x=\frac{6\sqrt{7}}{16}$$

Divide 6\sqrt{7} by 16 to get \frac{3}{8}\sqrt{7}.

$$x=\frac{3}{8}\sqrt{7}$$

Assign x

$$x≔\frac{3\sqrt{7}}{8}$$