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 is a radical expression.

Tags

CCSS.8.NS.A.1

Front

How do you simplify √a + √a?

Back

You combine like terms: √a + √a = 2√a.

Front

What is the product of two radical expressions?

Back

To multiply two radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately. For example, (√a)(√b) = √(ab).

Front

How do you add radical expressions?

Back

You can only add radical expressions that have the same index and radicand. For example, √2 + √2 = 2√2, but √2 + √3 cannot be simplified further.

Front

What is the process to subtract radical expressions?

Back

Similar to addition, you can only subtract radical expressions with the same index and radicand. For example, 3√2 - 2√2 = 1√2.

Front

How do you multiply a radical by a whole number?

Back

Multiply the whole number by the coefficient of the radical. For example, 3 * √2 = 3√2.

Front

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

Back

The simplified form is |a|, which represents the absolute value of a.

Front

How do you simplify √(a/b)?

Back

You can simplify it as √a / √b, provided b is not zero.

Front

What is the result of (√2)(√8)?

Back

The result is √(2*8) = √16 = 4.

Front

How do you simplify 2√3 + 2√8 - 3√3?

Back

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