IA_Nov7_UT

Front

What are conjugates in mathematics?

Back

Conjugates are pairs of expressions that have the same terms but with opposite signs, such as (a + b) and (a - b).

Front

What is the first step in simplifying an expression involving square roots?

Back

The first step is to identify and separate the terms under the square root, if possible, and look for perfect squares.

Front

How do you simplify the expression 7√2 - 3√5?

Back

The expression is already in its simplest form as the terms under the square roots are not like terms.

Front

What does the expression 6√2 ⋅ 5√14 simplify to?

Back

60√7, because you multiply the coefficients (6 and 5) and then multiply the square roots (√2 and √14) to get √(2*14) = √28 = √(4*7) = 2√7.

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified using the property √a ⋅ √b = √(a*b).

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the significance of simplifying expressions in mathematics?

Back

Simplifying expressions makes them easier to work with and helps in solving equations more efficiently.

Front

What is the square root of 25?

Back

The square root of 25 is 5, since 5 * 5 = 25.

Front

How do you combine like terms in an expression?

Back

You combine like terms by adding or subtracting their coefficients while keeping the variable part the same.