Simplify ; 4 root (132 by143) minus 2

4 answers

do you mean

4√(132/143) - 2
or
∜(132/143) - 2

Not sure what "by" means here.

Either way, there's not much that can be simplified.

132/143 = 11*12 / 11*13 = 12/13
4×√(132/143)^((−2)
=4×√(12/13)^((−2)
=√(12/13)^((−2/4)
=√(12/13)^((−1/2)

That's the answer.
=∜((132/143)^(-2) )

=((132/143)^(-2))^1/4

= (143/132)^1/2

= √11 * √13 / √2 *√2 * √3 * √11

= √13 / 2√3
∜((132/143)^(-2) )

=((132/143)^(-2))^1/4

= (143/132)^1/2

= √11 * √13 / √2 *√2 * √3 * √11

= √13 / 2√3