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Find the root that is a real number. rootindex 4 startroot 4096 endroot

2 Answers

4 votes
the answer would be C.

User Juvi
by
8.1k points
4 votes

Answer: 8

Explanation:
\sqrt[4]{4096}

We need to factor this, so


4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1


4096 = 2^(12)

We have to remember that
x^(n+m)=x^(n).x^(m)

This way, we have
\sqrt[4]{4096}=\sqrt[4]{2^(12)} = \sqrt[4]{2^(4).2^(4).2^(4)}  = 2.2.2=8

User Mr Griever
by
8.5k points