Solve 30/639625/65sqrt{98}=

$$\frac{ 30 }{ 63 } 96 \frac{ 25 }{ 65 } \sqrt{ 98 } =$$

Evaluate

$$\frac{12530\sqrt{2}}{39}\approx 454.36143427$$

Solution Steps

Reduce the fraction \frac{30}{63} to lowest terms by extracting and canceling out 3.

$$\frac{10}{21}\times \frac{96\times 65+25}{65}\sqrt{98}$$

Multiply 96 and 65 to get 6240.

$$\frac{10}{21}\times \frac{6240+25}{65}\sqrt{98}$$

Add 6240 and 25 to get 6265.

$$\frac{10}{21}\times \frac{6265}{65}\sqrt{98}$$

Reduce the fraction \frac{6265}{65} to lowest terms by extracting and canceling out 5.

$$\frac{10}{21}\times \frac{1253}{13}\sqrt{98}$$

Multiply \frac{10}{21} times \frac{1253}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 1253}{21\times 13}\sqrt{98}$$

Do the multiplications in the fraction \frac{10\times 1253}{21\times 13}.

$$\frac{12530}{273}\sqrt{98}$$

Reduce the fraction \frac{12530}{273} to lowest terms by extracting and canceling out 7.

$$\frac{1790}{39}\sqrt{98}$$

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$\frac{1790}{39}\times 7\sqrt{2}$$

Express \frac{1790}{39}\times 7 as a single fraction.

$$\frac{1790\times 7}{39}\sqrt{2}$$

Multiply 1790 and 7 to get 12530.

$$\frac{12530}{39}\sqrt{2}$$