What is sqrt((1.2)^2+(-1.6))^2 ?

The solution to sqrt((1.2)^2+(-1.6))^2 is -4/25

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simplify sqrt((1.2)^2+(-1.6))^2

simplify

(1.2)^{2} + (- 1.6)^{2}

- \frac{4}{25}

Decimal Notation

- 0.16

Solution steps

(1. 2^{2} + (- 1.6))^{2}

Apply rule:

a + (- b) = a - b

1. 2^{2} + (- 1.6) = 1. 2^{2} - 1.6

= (1. 2^{2} - 1.6)^{2}

1. 2^{2} - 1.6 = \frac{2}{5} i

= (\frac{2}{5} i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{2}{5} i)^{2} = (\frac{2}{5})^{2} i^{2}

= (\frac{2}{5})^{2} i^{2}

(\frac{2}{5})^{2} = \frac{4}{25}

= \frac{4}{25} i^{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 i ^{2}}{25}

Simplify

4 i^{2} : - 4

= \frac{- 4}{25}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{4}{25}

(n - 2)^{2} (n - 3)^{2}

\frac{6 ^{11}}{1 1 ^{11}}

What is sqrt((1.2)^2+(-1.6))^2 ?
The solution to sqrt((1.2)^2+(-1.6))^2 is -4/25