What is (1+isqrt(2))-(1-isqrt(2)) ?

The solution to (1+isqrt(2))-(1-isqrt(2)) is 2sqrt(2)i

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simplify (1+isqrt(2))-(1-isqrt(2))

simplify

(1 + i 2) - (1 - i 2)

22 i

Solution steps

(1 + i 2) - (1 - i 2)

Rewrite

1 + i 2

in standard complex form:

1 + 2 i

Rewrite

1 - i 2

in standard complex form:

1 - 2 i

= 1 + 2 i - (1 - 2 i)

Group the real part and the imaginary part of the complex number

(a + bi) - (c + d i) = (a - c) + (b - d) i

= (1 - 1) + (2 - (- 2)) i

Simplify

(1 - 1) + (2 - (- 2)) i : 22 i

= 22 i

\frac{8}{( \frac{4}{3} )}

8 x - 15 x - 30 x - 51 x = 53 x + 31 x - 172

4 x^{2} + 12 x - 7 = 0

9 x - 27

y^{2} + 18 y + 81

What is (1+isqrt(2))-(1-isqrt(2)) ?
The solution to (1+isqrt(2))-(1-isqrt(2)) is 2sqrt(2)i