How do you simplify $sqrt(16r^6)$ ?

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Answer 1 · 2017-01-06T11:56:15

$4r^3$

The trick is to look for squared value and then to take them outside the square root but not in squared form.

Note that $16 = 4^2" and "r^6 = r^(3xx2)= (r^3)^2$

$sqrt(16r^6)" "->" "sqrt(4^2(r^3)^2)" "=" "4r^3$

If you wished to be really fussy consider this example:
$(-2)xx(-2)" " =" " +4" " =" "(+2)xx(+2)$

So we have: $sqrt(16r^6)" "->" "sqrt(4^2(r^3)^2)" "=" "+-4r^3$

I suspect they are just looking for $+4r^3$ as the answer

How do you simplify sqrt(16r^6)sqrt(16r^6)?