What is (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3)) ?

The solution to (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3)) is 5

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simplify (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3))

simplify

(2 + i 3) (2 - i 3)

5

Solution steps

(2 + i 3) (2 - i 3)

Rewrite

2 + i 3

in standard complex form:

2 + 3 i

Rewrite

2 - i 3

in standard complex form:

2 - 3 i

= (2 + 3 i) (2 - 3 i)

Apply complex arithmetic rule:

(a + bi) (a - bi) = a^{2} + b^{2}

= (2)^{2} + (3)^{2}

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

= 5

4 v^{2} - 15 v + 16 = 6

- 3 x + 6 < 15 or 4 x - 1 \geq 3

\frac{3}{4} x = \frac{1}{2}

- 1 + 4 x \leq 31

\frac{3 x}{2} \leq 9

What is (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3)) ?
The solution to (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3)) is 5