Evaluate the following
√136
Term 1 has a square root, so we evaluate and simplify:
Simplify √136.
Checking square roots, we see that
112 = 121 and 122 = 144
Our answer in decimal format is between 11 and 12
Our answer is not an integer
Simplify it into the product of an integer and a radical.
We do this by listing each product combo of 136
Check for integer square root values below:
√136 = √1√136
√136 = √2√68
√136 = √4√34
√136 = √8√17
From that list, the highest factor with an integer square root is 4
Therefore, we use the product combo √136 = √4√34
Evaluating square roots, we see that √4 = 2
Simplifying our product of radicals, we get our answer:
Group square root terms for 2
2√34
Final Answer:
2√34
