Solve sqrt{196}+3(5^2-2sqrt{225})

$$\sqrt { 196 } + 3 ( 5 ^ { 2 } - 2 \sqrt { 225 } )$$

Evaluate

$$-1$$

Solution Steps

Calculate the square root of 196 and get 14.

$$14+3\left(5^{2}-2\sqrt{225}\right)$$

Calculate 5 to the power of 2 and get 25.

$$14+3\left(25-2\sqrt{225}\right)$$

Calculate the square root of 225 and get 15.

$$14+3\left(25-2\times 15\right)$$

Multiply -2 and 15 to get -30.

$$14+3\left(25-30\right)$$

Subtract 30 from 25 to get -5.

$$14+3\left(-5\right)$$

Multiply 3 and -5 to get -15.

$$14-15$$

Subtract 15 from 14 to get -1.

$$-1$$

Factor

$$-1$$