How To Multiply Square Roots With Square Roots?

Multiply the numbers inside the square roots

Keep the square root symbol

Simplify the result if possible

Use the rule: ( sqrt{a} cdot sqrt{b} = sqrt{ab} )

Example: ( sqrt{2} cdot sqrt{8} = sqrt{16} = 4 )

If needed, factor out perfect squares before simplifying

Example: ( sqrt{3} cdot sqrt{12} = sqrt{36} = 6 )

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