How To Simplify Radical Expressions?

Factor the number under the radical into perfect squares and remaining factors

Rewrite the radical as a product of separate radicals

Take the square root of any perfect-square factors

Multiply the simplified outside terms

Keep any non-perfect-square factors inside the radical

If the radical has variables, factor out pairs of the same variable

Apply the rule that even exponents come out of the radical as half the exponent

Combine like radicals only after simplifying them

Rationalize the denominator if a radical remains in the denominator

Check the final result by multiplying the simplified form back together

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