Question

Simplify: √64r8
O 87r²
O 87r4
O 32r²
O 32r4

Answer 1

`8r^(4)`

Explanation:

√(64r^8) = √((8r^4)^2) = 8r^4

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You can make use of either or both of these rules of exponents:

(a^b)^c = a^(b·c) . . . . . used above

`\sqrt[n]{a}` = a
`\fra {1}{n}`

Using the second rule, you can write the expression as ...

`√(64r^8)` =
`√(64)` ·
`r^8^*1/2` =
`8r^4`

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