How do you simplify $sqrt(50a^8)$ ?

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Answer 1 · 2018-03-18T23:59:10

$5a^4sqrt2$

We can separate the radical into the following:

$color(blue)(sqrt50)*sqrt(a^8)$

We can factor a $sqrt25$ out of $sqrt50$ . We get:

$color(blue)(sqrt2*sqrt25)*sqrt(a^8)$

Which can be simplified as

$color(blue)(5sqrt2)*color(red)(sqrt(a^8))$

Which can be simplified as

$5sqrt2*color(red)(a^4)$

Thus, we have

$5a^4sqrt2$

How do you simplify sqrt(50a^8)sqrt(50a^8)?