Solve {l}{(sqrt{100})(sqrt{63})}{-(4^2-1*2)}

$$\left. \begin{array} { l } { ( \sqrt { 100 } ) ( \sqrt { 63 } ) } \\ { - ( 4 ^ { 2 } - 1 \times 2 ) } \end{array} \right.$$

Evaluate

$$30\sqrt{7}-14\approx 65.372539332$$

Solution Steps

Calculate the square root of 100 and get 10.

$$10\sqrt{63}-\left(4^{2}-1\times 2\right)$$

Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.

$$10\times 3\sqrt{7}-\left(4^{2}-1\times 2\right)$$

Multiply 10 and 3 to get 30.

$$30\sqrt{7}-\left(4^{2}-1\times 2\right)$$

Calculate 4 to the power of 2 and get 16.

$$30\sqrt{7}-\left(16-1\times 2\right)$$

Multiply 1 and 2 to get 2.

$$30\sqrt{7}-\left(16-2\right)$$

Subtract 2 from 16 to get 14.

$$30\sqrt{7}-14$$