Radical Operations (simplify, add, subtract and multiply)

Front

What is the product of \( \sqrt{10n^2} \) and \( -2\sqrt{6n} \)?

Back

The product is \( -4n\sqrt{15n} \).

Front

How do you simplify the radical expression \( 2\sqrt{56a^2b^2} \)?

Back

The simplified form is \( 4ab\sqrt{14} \).

Front

What is the simplified form of \( 2\sqrt{27} + 3\sqrt{3} \)?

Back

The simplified form is \( 9\sqrt{3} \).

Front

What is the simplified form of \( 13\sqrt{3} \)?

Back

The expression is already simplified as \( 13\sqrt{3} \).

Front

How do you simplify \( 8x^4\sqrt{x} \)?

Back

The expression is already simplified as \( 8x^4\sqrt{x} \).

Front

What is the general rule for multiplying radicals?

Back

To multiply radicals, multiply the numbers outside the radicals and the numbers inside the radicals separately.

Front

What is the process for adding or subtracting radical expressions?

Back

You can only add or subtract radical expressions if they have the same radicand (the number inside the radical).

Front

What is a radicand?

Back

A radicand is the number or expression inside a radical symbol.

Front

How do you simplify \( \sqrt{a^2} \)?

Back

The simplified form is \( a \) if \( a \) is non-negative.

Front

What is the square root of \( 56 \)?

Back

The square root of \( 56 \) can be simplified to \( 2\sqrt{14} \).