Rephrase Problem: First, let's rephrase the problem into a clear question prompt. question_prompt: What is the simplified form of the expression (1 - √3) - 2/3?Simplify Expression: Now, let's simplify the expression (1 - √3) - 2/3 step by step. We start by looking at the expression as it is and identifying that we have two terms: (1 - √3) and -2/3.Identify Terms: Next, we need to combine these two terms. Since they are not like terms, we cannot combine them directly. We will write them next to each other, keeping the minus sign in front of the fraction. (1 - √3) - 2/3 = 1 - √3 - 2/3Combine Terms: Now, we need to combine the constant terms. The constant term in the first part is 1, and in the second part, it is -2/3. We will subtract 2/3 from 1. 1 - 2/3 = 3/3 - 2/3 = (3 - 2)/3 = 1/3Combine Constants: After combining the constant terms, we are left with the simplified expression: 1/3 - √3 This is the final simplified form of the expression, as we cannot simplify √3 any further without knowing its decimal value or having a like term to combine it with.

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Solve: $(1 - \frac{1}{\sqrt{3}}) - \frac{2}{3}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. Solve:

(1 - \frac{1}{\sqrt{3}}) - \frac{2}{3}

Rephrase Problem: First, let's rephrase the problem into a clear question prompt. $\newline$ question_prompt: What is the simplified form of the expression $(1 - \sqrt{3}) - \frac{2}{3}$ ?
Simplify Expression: Now, let's simplify the expression $(1 - \sqrt{3}) - \frac{2}{3}$ step by step. $\newline$ We start by looking at the expression as it is and identifying that we have two terms: $(1 - \sqrt{3})$ and $-\frac{2}{3}$ .
Identify Terms: Next, we need to combine these two terms. Since they are not like terms, we cannot combine them directly. We will write them next to each other, keeping the minus sign in front of the fraction. $\newline$ $(1 - \sqrt{3}) - \frac{2}{3} = 1 - \sqrt{3} - \frac{2}{3}$
Combine Terms: Now, we need to combine the constant terms. The constant term in the first part is $1$ , and in the second part, it is $-\frac{2}{3}$ . We will subtract $\frac{2}{3}$ from $1$ . $\newline$ $1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{(3 - 2)}{3} = \frac{1}{3}$
Combine Constants: After combining the constant terms, we are left with the simplified expression: $\newline$ $\frac{1}{3} - \sqrt{3}$ $\newline$ This is the final simplified form of the expression, as we cannot simplify $\sqrt{3}$ any further without knowing its decimal value or having a like term to combine it with.