Subjects algebra

Square Root Explanation E50771

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Square Root Explanation E50771


1. The square root of 3, written as $\sqrt{3}$, is the number that when multiplied by itself gives 3. 2. Mathematically, if $x = \sqrt{3}$, then $x^2 = 3$. 3. To find $\sqrt{3}$, you can use a calculator or estimate it by knowing that $1.7^2 = 2.89$ and $1.8^2 = 3.24$, so $\sqrt{3}$ is approximately 1.732. 4. This value is an irrational number, meaning it cannot be exactly expressed as a fraction, but it is commonly used in geometry and trigonometry. 5. In many problems, $\sqrt{3}$ appears as a result of simplifying expressions involving squares and roots, especially in right triangles with angles of 30° and 60°. Therefore, $\sqrt{3}$ is the positive number which squared equals 3, approximately 1.732.