ADD, SUBTRACT, MULTIPLY RADICALS EXPRESSIONS

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x or ³√y.

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms. Only radicals with the same index and radicand can be added together.

Front

What is the process for subtracting radical expressions?

Back

Subtracting radical expressions follows the same rules as addition: combine like terms, ensuring the radicals have the same index and radicand.

Front

How do you multiply radical expressions?

Back

To multiply radical expressions, multiply the coefficients and the radicands separately. For example, √a * √b = √(a*b).

Front

What is the product of two square roots?

Back

The product of two square roots is the square root of the product of the numbers. For example, √a * √b = √(a*b).

Front

What is the simplified form of √(a^2)?

Back

The simplified form of √(a^2) is |a|, which represents the absolute value of a.

Front

How do you simplify √(a*b)?

Back

To simplify √(a*b), factor out perfect squares. For example, √(4*3) = √4 * √3 = 2√3.

Front

What is the result of (√a + √b)(√a - √b)?

Back

The result is a - b, which is the difference of squares.

Front

How do you simplify the expression 2√3 + 2√8 - 3√3?

Back

Combine like terms: 2√3 - 3√3 + 2√8 = -√3 + 4√2.

Front

What is the result of (7 − √2)(5 + √3)?

Back

The result is 35 + 7√3 − 5√2 − √6.