Solve 5(sqrt{49}-2[sqrt{36}*2(23-18)])

$$5 ( \sqrt { 49 } - 2 [ \sqrt { 36 } \times 2 ( 23 - 18 ) ] )$$

Evaluate

$$-565$$

Solution Steps

Calculate the square root of 49 and get 7.

$$5\left(7-2\times 2\sqrt{36}\left(23-18\right)\right)$$

Multiply 2 and 2 to get 4.

$$5\left(7-4\sqrt{36}\left(23-18\right)\right)$$

Calculate the square root of 36 and get 6.

$$5\left(7-4\times 6\left(23-18\right)\right)$$

Multiply 4 and 6 to get 24.

$$5\left(7-24\left(23-18\right)\right)$$

Subtract 18 from 23 to get 5.

$$5\left(7-24\times 5\right)$$

Multiply 24 and 5 to get 120.

$$5\left(7-120\right)$$

Subtract 120 from 7 to get -113.

$$5\left(-113\right)$$

Multiply 5 and -113 to get -565.

$$-565$$

Factor

$$-565$$