SOLUTION: Does this look correct? Have I completed all steps? If not can you show me what I am missing. Your help will be much appreciated. Note the "x" is for multiplication.
√175y
Algebra ->
Radicals
-> SOLUTION: Does this look correct? Have I completed all steps? If not can you show me what I am missing. Your help will be much appreciated. Note the "x" is for multiplication.
√175y
Log On
Question 374416: Does this look correct? Have I completed all steps? If not can you show me what I am missing. Your help will be much appreciated. Note the "x" is for multiplication.
√175y^6
= √175×y^2
= √175×y^2
= √175×y Answer by jsmallt9(3758) (Show Source):
To simplify a square root (where there are no fractions), like this one, you look for perfect square factors of the radicand. (The expression inside a radical is called the radicand.) Your radicand has a couple of perfect square factors:
Next I like to use the Commutative Property to rearrange the factors so the perfect squares are in front:
Next we use a property of radicals, , to separate all the perfect square factors into their own square roots:
The square roots of the perfect squares can be simplified:
One more detail...
Square roots, including , are supposed to be positive (or zero). Our simplified expression should also be positive (or zero), too. However,
could be negative if y is negative. Since we do not know that y cannot be negative, then we must use absolute value to ensure a positive (or zero) expression:
Since cannot be negative this can also be written as
Either of these last two is your simplified expression.
(