Solve =20.26/sqrt{4291*1648}

$$= \frac { 20.26 } { \sqrt { 4291 \times 1648 } }$$

Evaluate

$$\frac{1013\sqrt{441973}}{88394600}\approx 0.007618712$$

Solution Steps

Multiply 4291 and 1648 to get 7071568.

$$\frac{20.26}{\sqrt{7071568}}$$

Factor 7071568=4^{2}\times 441973. Rewrite the square root of the product \sqrt{4^{2}\times 441973} as the product of square roots \sqrt{4^{2}}\sqrt{441973}. Take the square root of 4^{2}.

$$\frac{20.26}{4\sqrt{441973}}$$

Rationalize the denominator of \frac{20.26}{4\sqrt{441973}} by multiplying numerator and denominator by \sqrt{441973}.

$$\frac{20.26\sqrt{441973}}{4\left(\sqrt{441973}\right)^{2}}$$

The square of \sqrt{441973} is 441973.

$$\frac{20.26\sqrt{441973}}{4\times 441973}$$

Multiply 4 and 441973 to get 1767892.

$$\frac{20.26\sqrt{441973}}{1767892}$$

Divide 20.26\sqrt{441973} by 1767892 to get \frac{1013}{88394600}\sqrt{441973}.

$$\frac{1013}{88394600}\sqrt{441973}$$