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What is the simplest form of the quotient 4 square root 810 over 4 square root 2

What is the simplest form of the quotient 4 square root 810 over 4 square root 2-example-1
User Heedfull
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1 Answer

2 votes

Answer:


3\sqrt[4]{5}

Explanation:

Given:
\frac{\sqrt[4]{810} }{\sqrt[4]{2} }

Top and bottom has fourth root. so we take fourth root in common


\sqrt[4]{(810)/(2) }

When we divide 810 by 2. we will get 405


\sqrt[4]{405}

Now we simplify the fourth root

405 can be written as 3*3*3*3*5


\sqrt[4]{3*3*3*3*5}


3\sqrt[4]{5}


User Sris
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