Video: Simplifying Numerical Expressions by Multiplying Two Real Numbers Involving Roots

Simplify (√3 + 2)(√3 − 2).

01:01

Video Transcript

Simplify root three plus two multiplied by root three minus two.

We notice that this expression is written in the form 𝑥 plus 𝑦 multiplied by 𝑥 minus 𝑦. Using our difference of two squares result, this is equal to 𝑥 squared minus 𝑦 squared. Our value for 𝑥 is root three, and our value for 𝑦 is two. 𝑥 squared would therefore be equal to root three squared. We know that square routing and squaring are inverse operations. Therefore, 𝑥 squared is equal to three. 𝑦 squared is equal to four as two multiplied by two is four. The expression root three plus two multiplied by root three minus two is equal to three minus four. This is equal to negative one.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.