When dealing with division of radical expressions that have the same index (such as in the problem), they may be combined into one single radical. This is because of the quotient rule, wherein:
Use this rule and write the expression under a single radical, then reduce or simplify:
Apply quotient rule for exponents ():
Simplify both radicals.
Rationalize. If the denominator contains a radical expression, you need to do this process. To do this, multiply both numerator and denominator by the radical that will result in the radicand in the denominator becoming a perfect power:
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Answer:
Explanation:
When dealing with division of radical expressions that have the same index (such as in the problem), they may be combined into one single radical. This is because of the quotient rule, wherein:
Use this rule and write the expression under a single radical, then reduce or simplify:
Apply quotient rule for exponents (
):
Simplify both radicals.
Rationalize. If the denominator contains a radical expression, you need to do this process. To do this, multiply both numerator and denominator by the radical that will result in the radicand in the denominator becoming a perfect power:
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The answer is 2y
/5.