What is (sqrt(6)+i)(sqrt(6)-i) ?

The solution to (sqrt(6)+i)(sqrt(6)-i) is 7

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simplify (sqrt(6)+i)(sqrt(6)-i)

simplify

(6 + i) (6 - i)

7

Solution steps

(6 + i) (6 - i)

Apply complex arithmetic rule:

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

= (6)^{2} + 1^{2}

(6)^{2} + 1^{2} = 7

= 7

x + (- 12) = - 8

\frac{5}{8} \cdot \frac{5}{8} \cdot \frac{5}{8} \cdot \frac{5}{8}

- 4.4 (5 - 3.1 n) < 5.5 (3.8 + 2 n)

\frac{1}{3} (x + 3) < \frac{1}{5} (3 x + 2)

3 (- 4)