What is (5-isqrt(3))(1+isqrt(3)) ?

The solution to (5-isqrt(3))(1+isqrt(3)) is 8+4sqrt(3)i

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simplify (5-isqrt(3))(1+isqrt(3))

simplify

(5 - i 3) (1 + i 3)

8 + 43 i

Solution steps

(5 - i 3) (1 + i 3)

Rewrite

5 - i 3

in standard complex form:

5 - 3 i

Rewrite

1 + i 3

in standard complex form:

1 + 3 i

= (5 - 3 i) (1 + 3 i)

Apply complex arithmetic rule:

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

= (5 \cdot 1 - (- 3) 3) + (53 - 3 \cdot 1) i

Simplify

(5 \cdot 1 - (- 3) 3) + (53 - 3 \cdot 1) i : 8 + 43 i

= 8 + 43 i

2 0^{\frac{1}{2}}

5^{2} + 1 2^{2}

9 x = - 12

∣ x - 3 ∣ = 5 x

\frac{2}{x - 1} < 3

What is (5-isqrt(3))(1+isqrt(3)) ?
The solution to (5-isqrt(3))(1+isqrt(3)) is 8+4sqrt(3)i