Solve v=sqrt{210^6}

$$v = \sqrt{ 2 { 10 }^{ 6 } }$$

Solve for v

$$v=1000\sqrt{2}\approx 1414.213562373$$

Steps for Solving Linear Equation

Calculate 10 to the power of 6 and get 1000000.

$$v=\sqrt{2\times 1000000}$$

Multiply 2 and 1000000 to get 2000000.

$$v=\sqrt{2000000}$$

Factor 2000000=1000^{2}\times 2. Rewrite the square root of the product \sqrt{1000^{2}\times 2} as the product of square roots \sqrt{1000^{2}}\sqrt{2}. Take the square root of 1000^{2}.

$$v=1000\sqrt{2}$$

Assign v

$$v≔1000\sqrt{2}$$