Question

How do you simplify `sqrt(16b)^4`?

Answer 1

• `sqrt(16*b^4)` = `+-4b^2`

• We use the Identity `sqrt(a*b) = sqrta*sqrtb`

`sqrt(16*b^4)`

= `sqrt(4^2*b^4)`

=`sqrt(4^2)*sqrt(b^4)`

= `4*b^2`

• Squaring `4*b^2` will give us `16*b^4`. And squaring `-(4*b^2)` will also give us `16*b^4`

Hence `sqrt(16*b^4)` = `+-4b^2`