What is (sqrt(-100))(sqrt(36)) ?

The solution to (sqrt(-100))(sqrt(36)) is 60i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(-100))(sqrt(36))

simplify

(- 100) (36)

60 i

Solution steps

(- 100) (36)

(- 100) (36) = - 100 36

= - 100 36

36 = 6

= - 100 \cdot 6

Prime factorization of

100 : 2^{2} \cdot 5^{2}

= - 2^{2} \cdot 5^{2} \cdot 6

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{2} \cdot 5^{2} = 2^{2} - 5^{2}

= 2^{2} - 5^{2} \cdot 6

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 - 5^{2} \cdot 6

5^{2} = 25

= 2 - 25 \cdot 6

Multiply the numbers:

2 \cdot 6 = 12

= 12 - 25

Apply radical rule:

- a = a - 1

- 25 = 25 - 1

= 1225 - 1

Apply imaginary number rule:

- 1 = i

= 1225 i

25 = 5

= 12 \cdot 5 i

Multiply the numbers:

12 \cdot 5 = 60

= 60 i

6 \cdot c^{3} \cdot d^{- 2}

\frac{( 3 a ^{4} ) ^{5}}{4 a}

7 \cdot (- 6)

\frac{5}{8 x} + \frac{3}{8 x ^{2}}

(7 - 6 i) (2 - 3 i)