簡約 sqrt(0.92^2+(-5.92))^2

解

簡約

0.9 2^{2} + (- 5.92)^{2}

- \frac{3171}{625}

十進法表記

- 5.0736

解答ステップ

(0.9 2^{2} + (- 5.92))^{2}

規則を適用する:

a + (- b) = a - b

0.9 2^{2} + (- 5.92) = 0.9 2^{2} - 5.92

= (0.9 2^{2} - 5.92)^{2}

0.9 2^{2} - 5.92 = \frac{3171}{25} i

= (\frac{3171}{25} i)^{2}

指数の規則を適用する:

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

(\frac{3171}{25} i)^{2} = (\frac{3171}{25})^{2} i^{2}

= (\frac{3171}{25})^{2} i^{2}

(\frac{3171}{25})^{2} = \frac{3171}{625}

= \frac{3171}{625} i^{2}

分数を乗じる:

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

= \frac{3171 i ^{2}}{625}

簡素化

3171 i^{2} : - 3171

= \frac{- 3171}{625}

分数の規則を適用する:

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

= - \frac{3171}{625}