Simplify the following expression: 3√5 − 2√5 + √5

Question

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The image shows the expression 3√(5) − 2√(5) + √(5). We need to simplify this expression by combining the like surds. Step 1: Identify the terms with the same radical. All terms in the expression, 3√(5), −2√(5), and √(5), have √(5) as their radical part. This means they are like surds and can be combined. Step 2: Combine the coefficients of the like surds. The coefficients are 3, −2, and 1 (since √(5) is equivalent to 1√(5)). 3√(5) − 2√(5) + √(5) = (3 − 2 + 1)√(5) Step 3: Perform the arithmetic operation on the coefficients. (3 − 2 + 1)√(5) = (1 + 1)√(5) = 2√(5) The simplified expression is: 2√(5)

Simplify the following expression: 3√5 - 2√5 + √5

Answer

Step-by-step solution

Identify the terms with the same radical.

Combine the coefficients of the like surds.

Perform the arithmetic operation on the coefficients.

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