Solve {left(8/3right)}^2+1.5^2

$${ \left( \frac{ 8 }{ 3 } \right) }^{ 2 } + { 1.5 }^{ 2 }$$

Evaluate

$$\frac{337}{36}\approx 9.361111111$$

Solution Steps

Calculate \frac{8}{3} to the power of 2 and get \frac{64}{9}.

$$\frac{64}{9}+1.5^{2}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{64}{9}+2.25$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{64}{9}+\frac{9}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{64}{9} and \frac{9}{4} to fractions with denominator 36.

$$\frac{256}{36}+\frac{81}{36}$$

Since \frac{256}{36} and \frac{81}{36} have the same denominator, add them by adding their numerators.

$$\frac{256+81}{36}$$

Add 256 and 81 to get 337.

$$\frac{337}{36}$$

Factor

$$\frac{337}{2 ^ {2} \cdot 3 ^ {2}} = 9\frac{13}{36} = 9.36111111111111$$