Add 2√5 √5
To simplify the expression 2√5 √5, we can use the property of multiplication with radicals which states that √a √b = √(a*b).
So, 2√5 √5 = 2 * √(5 * 5) = 2√25 = 2 * 5 = 10.
Therefore, 2√5 √5 = 10.
To add 2√5 and √5, we need to combine like terms. Since both terms have a radical sign and a coefficient of 1, we can simply add their coefficients:
2√5 + √5 = (2 + 1)√5 = 3√5
Therefore, 2√5 + √5 = 3√5.
To add √5 and 2√5, first, recognize that they have the same radicand (5). Therefore, they are like terms that can be simplified by combining their coefficients.
Step 1: Identify the coefficient of √5. In this case, √5 has a coefficient of 1, and 2√5 has a coefficient of 2.
Step 2: Add the coefficients together. 1 + 2 equals 3.
Step 3: Write the simplified result, which is 3√5.
So, the sum of √5 and 2√5 is 3√5.