Solve sqrt{21}*frac{sqrt{1239}}{42}=x

$$\sqrt { 21 } \times \frac { \sqrt { 1239 } } { 42 } = x$$

Solve for x

$$x = \frac{\sqrt{59}}{2} \approx 3.840572874$$

Steps for Solving Linear Equation

Express \sqrt{21}\times \frac{\sqrt{1239}}{42} as a single fraction.

$$\frac{\sqrt{21}\sqrt{1239}}{42}=x$$

Factor 1239=21\times 59. Rewrite the square root of the product \sqrt{21\times 59} as the product of square roots \sqrt{21}\sqrt{59}.

$$\frac{\sqrt{21}\sqrt{21}\sqrt{59}}{42}=x$$

Multiply \sqrt{21} and \sqrt{21} to get 21.

$$\frac{21\sqrt{59}}{42}=x$$

Divide 21\sqrt{59} by 42 to get \frac{1}{2}\sqrt{59}.

$$\frac{1}{2}\sqrt{59}=x$$

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

$$x=\frac{1}{2}\sqrt{59}$$