Solve 35sqrt{90}div7sqrt{10}

$$35 \sqrt { 90 } \div 7 \sqrt { 10 }$$

Evaluate

$$150$$

Solution Steps

Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.

$$\frac{35\times 3\sqrt{10}}{7}\sqrt{10}$$

Multiply 35 and 3 to get 105.

$$\frac{105\sqrt{10}}{7}\sqrt{10}$$

Divide 105\sqrt{10} by 7 to get 15\sqrt{10}.

$$15\sqrt{10}\sqrt{10}$$

Multiply \sqrt{10} and \sqrt{10} to get 10.

$$15\times 10$$

Multiply 15 and 10 to get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$