Subjects algebra

Coefficients Square Root

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Coefficients Square Root


1. Let's clarify expressions involving coefficients and square roots. For example, when you see $3\sqrt{3}$, it means $3$ multiplied by $\sqrt{3}$, not the square root of $3$ alone. 2. The square root symbol, $\sqrt{\phantom{a}}$, applies only to the number or expression directly under it. So $\sqrt{3}$ is a different value from $3\sqrt{3}$. 3. Numerically, $\sqrt{3} \approx 1.732$, so $3\sqrt{3} = 3 \times 1.732 \approx 5.196$. 4. If a coefficient precedes a square root, always multiply the coefficient by the value of the square root, rather than incorporating it under the root. 5. I hope this explains why $2.3$ is not $\sqrt{3}$ but rather $3$ times $\sqrt{}$ of something, or similar based on the context you are referring to.