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:
- (√2 + √3) · (√5 - √7) Given
- (√2 + √3) · √5 + (√2 + √3) · (- √7) Distributive property
- √2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7) Distributive property
- √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
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