Solve (2)-5sqrt{(4/5)^2+0.6^2}

$$( 2 ) - 5 \sqrt { ( \frac { 4 } { 5 } ) ^ { 2 } + 0.6 ^ { 2 } }$$

Evaluate

$$-3$$

Solution Steps

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$2-5\sqrt{\frac{16}{25}+0.6^{2}}$$

Calculate 0.6 to the power of 2 and get 0.36.

$$2-5\sqrt{\frac{16}{25}+0.36}$$

Convert decimal number 0.36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$2-5\sqrt{\frac{16}{25}+\frac{9}{25}}$$

Since \frac{16}{25} and \frac{9}{25} have the same denominator, add them by adding their numerators.

$$2-5\sqrt{\frac{16+9}{25}}$$

Add 16 and 9 to get 25.

$$2-5\sqrt{\frac{25}{25}}$$

Divide 25 by 25 to get 1.

$$2-5\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$2-5\times 1$$

Multiply 5 and 1 to get 5.

$$2-5$$

Subtract 5 from 2 to get -3.

$$-3$$

Factor

$$-3$$