Solve (0.15)^2+(2.5)^2+(0.35)^2+(4.5)^2

$$( 0.15 ) ^ { 2 } + ( 2.5 ) ^ { 2 } + ( 0.35 ) ^ { 2 } + ( 4.5 ) ^ { 2 }$$

Evaluate

$$26.645$$

Solution Steps

Calculate 0.15 to the power of 2 and get 0.0225.

$$0.0225+2.5^{2}+0.35^{2}+4.5^{2}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$0.0225+6.25+0.35^{2}+4.5^{2}$$

Add 0.0225 and 6.25 to get 6.2725.

$$6.2725+0.35^{2}+4.5^{2}$$

Calculate 0.35 to the power of 2 and get 0.1225.

$$6.2725+0.1225+4.5^{2}$$

Add 6.2725 and 0.1225 to get 6.395.

$$6.395+4.5^{2}$$

Calculate 4.5 to the power of 2 and get 20.25.

$$6.395+20.25$$

Add 6.395 and 20.25 to get 26.645.

$$26.645$$

Factor

$$\frac{73 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 26\frac{129}{200} = 26.645$$