Solved on Oct 24, 2023

Find the sum of x5x \sqrt{5} and 4x54x \sqrt{5}.

STEP 1

Assumptions1. We are given two terms x5x \sqrt{5} and 4x54x \sqrt{5}. . Both terms are similar as they have the same variable xx and the same radical 5\sqrt{5}.
3. We can add similar terms by adding their coefficients.

STEP 2

We can write the given expression as a sum of two similar terms.
x5+4x5x \sqrt{5} +4x \sqrt{5}

STEP 3

We can add similar terms by adding their coefficients. The coefficient of x5x \sqrt{5} is1 and the coefficient of x5x \sqrt{5} is.
(1+)x5(1 +) x \sqrt{5}

STEP 4

Calculate the sum of the coefficients.
xx \sqrt{} So, the sum of x+4xx \sqrt{} +4x \sqrt{} is xx \sqrt{}.

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