Solve 51/2.6*sqrt{25*91}

$$\frac{ 51 }{ 2.6 } \times \sqrt{ 25 \times 91 }$$

Evaluate

$$\frac{1275\sqrt{91}}{13}\approx 935.594216774$$

Solution Steps

Expand \frac{51}{2.6} by multiplying both numerator and the denominator by 10.

$$\frac{510}{26}\sqrt{25\times 91}$$

Reduce the fraction \frac{510}{26} to lowest terms by extracting and canceling out 2.

$$\frac{255}{13}\sqrt{25\times 91}$$

Multiply 25 and 91 to get 2275.

$$\frac{255}{13}\sqrt{2275}$$

Factor 2275=5^{2}\times 91. Rewrite the square root of the product \sqrt{5^{2}\times 91} as the product of square roots \sqrt{5^{2}}\sqrt{91}. Take the square root of 5^{2}.

$$\frac{255}{13}\times 5\sqrt{91}$$

Express \frac{255}{13}\times 5 as a single fraction.

$$\frac{255\times 5}{13}\sqrt{91}$$

Multiply 255 and 5 to get 1275.

$$\frac{1275}{13}\sqrt{91}$$