What is factor sqrt(5+5i)*sqrt(10-10i) ?

The solution to factor sqrt(5+5i)*sqrt(10-10i) is 5sqrt(2)sqrt(1+i)sqrt(1-i)

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factor sqrt(5+5i)*sqrt(10-10i)

factor

5 + 5 i \cdot 10 - 10 i

52 1 + i 1 - i

Solution steps

5 + 5 i 10 - 10 i

5 + 5 i = 5 (1 + i)

= 5 (1 + i) 10 - 10 i

10 - 10 i = 10 (1 - i)

= 5 (1 + i) 10 (1 - i)

5 (1 + i) = 5 1 + i

= 5 1 + i 10 (1 - i)

10 (1 - i) = 10 1 - i

= 510 1 + i 1 - i

Factor integer

10 = 5 \cdot 2

= 5 1 + i 5 \cdot 2 1 - i

Apply radical rule:

5 \cdot 2 = 52

= 5 1 + i 52 1 - i

Apply radical rule:

a a = a

55 = 5

= 52 1 + i 1 - i

[0.9]

j^{(0.5)}

x (2 \cdot cos (2 x))

x^{(a + b)}

T (7.7)

What is factor sqrt(5+5i)*sqrt(10-10i) ?
The solution to factor sqrt(5+5i)*sqrt(10-10i) is 5sqrt(2)sqrt(1+i)sqrt(1-i)