The uploaded image contains a math assignment with exercises covering a variety of topics, including simplifying square roots, rationalizing denominators, solving equations, expanding expressions, factorization, working with scientific notation, and rewriting expressions as powers. Below is an outline of each exercise:

Exercise 1

1. Calculations involving square roots and basic arithmetic.
2. Rewrite expressions in the form $a\sqrt{b}$, where $a$ and $b$ are integers.
3. Rationalize denominators for given fractional expressions.
4. Prove that a given expression is an integer.
5. Solve equations involving quadratic expressions.

Exercise 2

1. Expand and simplify algebraic expressions.
2. Factorize quadratic and polynomial expressions.
3. Verify an identity involving square roots.

Exercise 3

1. Calculate values of given expressions involving powers.
2. Rewrite as a single power using exponent rules.
3. Scientific notation: Express values in scientific form for given expressions.

Would you like a step-by-step solution for each question in a specific exercise, or is there a particular question you need help with?

Follow-Up Questions

1. Would you like assistance in simplifying square roots?
2. Do you need help rationalizing denominators?
3. Are you looking for guidance in solving quadratic equations?
4. Would you like help with expanding and simplifying algebraic expressions?
5. Do you need an explanation of scientific notation?

Tip

When simplifying expressions with square roots, look for perfect square factors to simplify them further.