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(√14 + √10i)(√14 - √10i)

1 Answer

2 votes

Answer:

24

Explanation:

You want the value of the product ...

(√14 + √10i)(√14 - √10i)

Difference of squares

The factoring of the difference of squares is ...

a² -b² = (a +b)(a -b)

Here, we have a=√14 and b=√10i. The product of the sum and difference of these values is ...

(√14 + √10i)(√14 - √10i) = (√14)² -(√10i)²

= 14 -(10(-1)) = 24

The product is 24.

User Felipe Francisco
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