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const2013 [10]
2 years ago
8

Simplify this expression.

Mathematics
1 answer:
aalyn [17]2 years ago
5 0

By applying <em>algebra</em>, <em>radical</em> and <em>power</em> properties, we find that the <em>simplified</em> form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)

<h3>How to simplify a product of two binomials with radical numbers</h3>

Herein we need to apply <em>algebra</em> and <em>radical</em> and <em>power</em> properties to simplify the expression described in the statement, whose procedure is shown below:

  1. (√2 + √3) · (√5 - √7)     Given
  2. (√2 + √3) · √5 + (√2 + √3) · (- √7)     Distributive property
  3. √2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7)     Distributive property
  4. √10 + √15 - √14 - √21     (- a) · b = - a · b/ √a · √b = √a · b/Result

By applying <em>algebra</em>, <em>radical</em> and <em>power</em> properties, we find that the <em>simplified</em> form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)

To learn more on radical numbers: brainly.com/question/13184531

#SPJ1

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