Solve 4/sqrt{8349}

$$\frac{ 4 }{ \sqrt{ 8349 } }$$

Evaluate

$$\frac{4\sqrt{69}}{759}\approx 0.043776674$$

Solution Steps

Factor 8349=11^{2}\times 69. Rewrite the square root of the product \sqrt{11^{2}\times 69} as the product of square roots \sqrt{11^{2}}\sqrt{69}. Take the square root of 11^{2}.

$$\frac{4}{11\sqrt{69}}$$

Rationalize the denominator of \frac{4}{11\sqrt{69}} by multiplying numerator and denominator by \sqrt{69}.

$$\frac{4\sqrt{69}}{11\left(\sqrt{69}\right)^{2}}$$

The square of \sqrt{69} is 69.

$$\frac{4\sqrt{69}}{11\times 69}$$

Multiply 11 and 69 to get 759.

$$\frac{4\sqrt{69}}{759}$$