Solve sqrt{49}+5^2+(8-5(7-2))+2

$$\sqrt{ 49 } + { 5 }^{ 2+(8-5(7-2))+2 }$$

Evaluate

$$\frac{8544921876}{1220703125}=7.000000001$$

Solution Steps

Calculate the square root of 49 and get 7.

$$7+5^{2+8-5\left(7-2\right)+2}$$

Subtract 2 from 7 to get 5.

$$7+5^{2+8-5\times 5+2}$$

Multiply 5 and 5 to get 25.

$$7+5^{2+8-25+2}$$

Subtract 25 from 8 to get -17.

$$7+5^{2-17+2}$$

Subtract 17 from 2 to get -15.

$$7+5^{-15+2}$$

Add -15 and 2 to get -13.

$$7+5^{-13}$$

Calculate 5 to the power of -13 and get \frac{1}{1220703125}.

$$7+\frac{1}{1220703125}$$

Add 7 and \frac{1}{1220703125} to get \frac{8544921876}{1220703125}.

$$\frac{8544921876}{1220703125}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 173 \cdot 457339}{5 ^ {13}} = 7\frac{1}{1220703125} = 7.0000000008192$$