Adding/ Subtracting Radical

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

Front

How do you add or subtract radicals?

Back

You can add or subtract radicals only if they have the same index and radicand (the number under the root). For example, √2 + √2 = 2√2, but √2 + √3 cannot be simplified.

Front

What is the index of a radical?

Back

The index of a radical indicates the degree of the root. For example, in √x, the index is 2 (square root), and in ∛x, the index is 3 (cube root).

Front

Can you add or subtract 12√5 and 4√5?

Back

Yes, you can add them because they have the same radicand. 12√5 + 4√5 = 16√5.

Front

Can you add or subtract 2√3 and 4√3?

Back

Yes, you can add them because they have the same radicand. 2√3 + 4√3 = 6√3.

Front

Can you add or subtract 4√5 and 4√7?

Back

No, you cannot add or subtract them because they have different radicands.

Front

What is the result of 2√9 + 4√9?

Back

Yes, you can add them because they have the same radicand. 2√9 + 4√9 = 6√9 = 18.

Front

What is a like radical?

Back

Like radicals are radicals that have the same index and radicand, allowing them to be combined through addition or subtraction.

Front

What is an unlike radical?

Back

Unlike radicals are radicals that have different radicands or indices, and they cannot be combined.

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.