Resta de Números Radicales.

Understanding the Difference of Radicals

Introduction to Radical Differences

• The video introduces the topic of differences of radicals, specifically focusing on the expression √27 - √45.

• The first step in solving this problem is to simplify the individual square roots involved in the expression.

Simplifying √27

• To simplify √27, we identify that 27 can be factored into 9 and 3, where 9 is a perfect square.

• The simplification process involves recognizing that √9 equals 3, allowing us to express √27 as 3√3.

Simplifying √45

• For √45, we factor it into 9 and 5. Again, since 9 is a perfect square, we can simplify it similarly.

• This results in expressing √45 as 3√5 after separating it into two parts: √9 and √5.

Substituting Back into the Expression

• After simplifying both radicals, we substitute back into our original expression: replacing √27 with its simplified form (3√3) and √45 with (3√5).

• The new expression becomes: 3√3 - 3√5.

Conclusion on Operations with Different Radicals

• Since the radicals (√3 and √5) are different, they cannot be combined through subtraction; thus, no further simplification can occur between these terms.