Multiply Square Roots

Multiply Square Roots

To multiply two square roots, we just multiply the radicands and put the product under a radical sign. That is, the product of two square roots is equal to the square root of the product of the radicands.

Can you just multiply square roots?

You can multiply square roots, a type of radical expression, just as you might multiply whole numbers. Sometimes square roots have coefficients (an integer in front of the radical sign), but this only adds a step to the multiplication and does not change the process.

What are the rules for multiplying radicals?

Multiplying Radicals: When multiplying radicals (with the same index), multiply under the radical, and then multiply in front of the radical (any values multiplied times the radicals). Multiply the values under the radicals. Then simplify the result. Multiply out front and multiply under the radicals.

How do you multiply squares?

Multiplying exponents with different bases

First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

Sarah Jenkins
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Sarah Jenkins

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.