$$ \left(\sqrt{5-\sqrt3}\right) $$$$ ^2 $$

The expression you provided is:

\[
\left(\sqrt{5 - \sqrt{3}}\right)^2
\]

When you square a square root, the square root and the square cancel out. So, we can simplify this as:

\[
\left(\sqrt{5 - \sqrt{3}}\right)^2 = 5 - \sqrt{3}
\]

Thus, the simplified form is:

\[
5 - \sqrt{3}
\]

Would you like further details or have any other questions?

Here are 5 related questions for further practice:

1. Simplify $\left(\sqrt{7 + \sqrt{2}}\right)^2$.
2. Simplify $\sqrt{9 + \sqrt{5}} \times \sqrt{9 - \sqrt{5}}$.
3. Simplify $\left(\sqrt{4 + \sqrt{3}}\right)^2$.
4. Expand $(a + b)^2$ for any values of $a$ and $b$.
5. Solve for $x$ if $x = \sqrt{10 - \sqrt{6}}$.

**Tip:** When squaring a square root, remember that the square and the square root cancel each other out.

Simplify the expression (√(5 - √3))^2 and learn how to square square roots in algebra. This problem demonstrates key concepts like square root simplification and exponent rules. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation