simplify radicals square root of 132
132^1/2= (4*33)^1/2= 4^1/2 * 33^1/2
= 2 * 33^1/2 or 2 sqrt33
To simplify the square root of 132, you can start by factoring the number under the radical sign.
First, find all the prime factors of 132:
132 = 2 * 2 * 3 * 11
Next, group the factors in pairs, where each pair consists of two of the same number. In this case, we have two 2's in the prime factorization.
So, we can rewrite 132 as:
132 = (√2 * 2) * (√3) * (√11)
Now, you can simplify the radical by taking out the multiples of the same number.
Since we have two 2's multiplied together, we can take one of them outside the square root:
132 = 2 * (√2) * (√3) * (√11)
Finally, multiply together the numbers outside the square root to get the simplified form:
132 = 2√(2 * 3 * 11) = 2√66
Therefore, the simplified form of the square root of 132 is 2√66.