- #1
pan90
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FOIL it out:pan90 said:
The formula for simplifying (√3 + 2√5)² is (a + b)² = a² + 2ab + b², where a = √3 and b = 2√5.
The first step in simplifying (√3 + 2√5)² is to expand the expression using the formula (a + b)² = a² + 2ab + b².
The second step in simplifying (√3 + 2√5)² is to simplify the squared terms, which in this case are √3² and (2√5)². This results in 3 and 4(5), which simplifies to 20.
The third step in simplifying (√3 + 2√5)² is to simplify the remaining terms, which in this case are 2√3 and 2(2√5). This results in 4√3 and 4(2√5), which simplifies to 8√3 and 8(√5).
The final step in simplifying (√3 + 2√5)² is to combine like terms. In this case, we can combine 20, 8√3, and 8(√5) to get the simplified expression of 20 + 8√3 + 8(√5).
