Question

How do you simplify (3+√5)(3−√5)?

Answer 1

To simplify (3+√5)(3−√5), use the difference of squares formula, resulting in the simplified answer, 4.

Step-by-step explanation:

To simplify the expression (3+√5)(3−√5), we can apply the difference of squares formula, which is a2 - b2. In our case, a is 3 and b is √5. When we expand the expression, we get:

• 32 - (√5)2

Now, we calculate each square:

• 32 = 9 (since 3 x 3 = 9)
• (√5)2 = 5 (because the square root of a number multiplied by itself gives us the original number)

Substituting these values back into our expression:

• 9 - 5 = 4

Therefore, the simplified result of (3+√5)(3−√5) is 4.