Evaluate the following
√5√7
Term 1 has a square root, so we evaluate and simplify:
We have a product of 2 square root terms
The product of square roots is equal to the square root of the products
√5√7 = √5*7
√5√7 = √35
Simplify √35.
Checking square roots, we see that
52 = 25 and 62 = 36
Our answer in decimal format is between 5 and 6
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 35
Check for integer square root values below:
√35 = √1√35
√35 = √5√7
From that list, the highest factor with an integer square root is 1
Therefore, we use the product combo √35 = √1√35
Evaluating square roots, we see that √1 = 1
Since 1 is the greatest common factor, this square root cannot be simplified any further:
Multiply by our constant of 1
Group square root terms for 1
1√35
Final Answer:
1√35
