How to multiply square roots - ACT Math

Card 0 of 6

Question

Find the product:

Answer

Simplify the radicals, then multiply:

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Question

Simplify the following completely:

Answer

To simplify this expression, simply multiply the radicands and reduce to simplest form.

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Question

Simplify the following:

Answer

When multiplying square roots, the easiest thing to do is first to factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Remember that multiplying roots is very easy! Just multiply together everything "under" the roots:

Finally this can be simplified as:

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Question

Simplify:

Answer

When multiplying square roots, the easiest thing to do is first to factor each root. Thus:

Now, when you combine the multiplied roots, it will be easier to come to your final solution. Just multiply together everything "under" the roots:

Finally this can be simplified as:

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Question

State the product:

Answer

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now simplify the radical.

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Question

Find the product:

Answer

Don't try to do too much at first for this problem. Multiply your radicals and your coefficients, then worry about any additional simplification.

Now, simplify your radical.

Compare your answer with the correct one above

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