Factoring Radicals - Math

Use the multiplication property of radicals to split the fourth roots as follows:

Simplify the new roots:

Begin by factoring the integer:

Now, simplify the exponents:

Begin by converting the radical into exponent form:

Now, multiply the exponents:

Begin by converting the radical into exponent form:

Now, combine the bases:

Simplify the integer:

Now, simplify the exponents:

Convert back into radical form and simplify:

Begin by using the FOIL method (First Outer Inner Last) to expand the expression.

Now, combine like terms:

Begin by multiplying the numerator and denominator by the complement of the denominator:

Use the FOIL method to multiply the radicals. F (first) O (outer) I (inner) L (last)

Now, combine like terms:

Simplify:

Begin by factoring the radicals:

Combine like terms:

Multiply the left side by and the right side by

Begin by converting the radicals into exponent form:

Now, combine the bases:

Convert back into radical form and simplify:

Begin by simplifying the right side of the rational expression:

Now, combine like terms:

Begin by using the FOIL method to multiply the radical expression. F (first) O (outer) I (inner) L (last)

Now, combine like terms:

Begin by multiplying the numerator and denominator by :

The expression cannot be further simplified.

Begin by multiplying the numerator and denominator by the complement of the denominator:

Combine like terms and simplify:

Begin by factoring the radicals and combining like terms:

Multiply the left side of the equation by and the right side by :

Begin by factoring the integer:

Factor the exponents:

Begin by factoring the integer:

Factor the exponents:

Begin by factoring the integer:

Factor the exponents:

Begin by factoring the expression:

Now, take the square root:

Simplify the radical expression:

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