Solve sqrt{2}*sqrt{18}+(11*7)

$$\sqrt{ 2 } \times \sqrt{ 18 } +(11 \times 7)$$

Evaluate

$$83$$

Solution Steps

Factor 18=2\times 9. Rewrite the square root of the product \sqrt{2\times 9} as the product of square roots \sqrt{2}\sqrt{9}.

$$\sqrt{2}\sqrt{2}\sqrt{9}+11\times 7$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$2\sqrt{9}+11\times 7$$

Calculate the square root of 9 and get 3.

$$2\times 3+11\times 7$$

Multiply 2 and 3 to get 6.

$$6+11\times 7$$

Multiply 11 and 7 to get 77.

$$6+77$$

Add 6 and 77 to get 83.

$$83$$

Factor

$$83$$