What is (sqrt(-45))^2 ?

The solution to (sqrt(-45))^2 is -45

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(-45))^2

simplify

(- 45)^{2}

- 45

Solution steps

(- 45)^{2}

- 45 = 35 i

= (35 i)^{2}

Apply exponent rule:

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

(35 i)^{2} = 3^{2} (5)^{2} i^{2}

= 3^{2} (5)^{2} i^{2}

3^{2} = 9

= 9 (5)^{2} i^{2}

(5)^{2} = 5

= 9 \cdot 5 i^{2}

Multiply the numbers:

9 \cdot 5 = 45

= 45 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 45 (- 1)

Multiply the numbers:

45 (- 1) = - 45

= - 45

(y - 1)^{2}

25 \cdot 1 0^{- 3} \cdot ln (\frac{1 0 ^{- 2}}{1 0 ^{- 9}})

x + 1 \times x - 4