How To Simplify Radicals?

Factor the radicand into perfect powers and leftover factors

Rewrite the radical using the product rule

Take the root of any perfect power factor

Leave the non-perfect factors inside the radical

If possible, reduce the index and exponent using exponent rules

Simplify coefficients outside the radical

Combine like radicals only when the radicands match exactly

Rationalize the denominator if a radical appears there

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