Simplify ; 4 root (132 by143) minus 2
=∜((132/143)^(-2) )
=((132/143)^(-2))^1/4
= (143/132)^1/2
= √11 * √13 / √2 *√2 * √3 * √11
= √13 / 2√3
To simplify the expression 4√(132 ÷ 143) - 2, we first need to calculate the value inside the square root.
Step 1: Find the value of 132 ÷ 143
To calculate this division, simply divide 132 by 143 using a calculator or long division. The result is approximately 0.9231.
Step 2: Simplify the expression
Now that we have the value of 132 ÷ 143, we substitute it back into the original expression:
4√(0.9231) - 2
Step 3: Calculate the square root
Using a calculator, find the square root of 0.9231, which is approximately 0.9606.
Step 4: Finish simplifying
Finally, substitute the square root back into the expression:
4(0.9606) - 2
Now you can calculate the final answer by multiplying 4 by 0.9606 and subtracting 2.
∜((132/143)^(-2) )
=((132/143)^(-2))^1/4
= (143/132)^1/2
= √11 * √13 / √2 *√2 * √3 * √11
= √13 / 2√3
4×√(132/143)^((−2)
=4×√(12/13)^((−2)
=√(12/13)^((−2/4)
=√(12/13)^((−1/2)
That's the answer.
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