What is the square root of 5 times the square root of 35?
Use this rule for radicals to combine the terms:
Next, we can rewrite the term under the radical as:
Now, use this rule for radicals to simplify the expression:
Note that we now have among the factors of 175 a square under the square root that we can take out to simplify
It is usually worth keeping track of what factors go in in advance - so in this case remembering that