sqr 10 times sqr 16 over sqr 5
sqrt(5*2*4*4)/5) = 4 sqrt 2
Cancel the sqrt5's and take the sqrt of 16)
simplify the expression
I already did
To evaluate the expression ((√10) * (√16)) / (√5), we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, let's simplify the expression inside the parentheses:
√10 = √(2 * 5) = √2 * √5
√16 = √(4 * 4) = √4 * √4 = 2 * 2 = 4
Now, our expression becomes:
((√2 * √5) * 4) / (√5)
Applying the multiplication operation, we have:
(4√2 * √5) / √5
The √5 in the numerator and denominator cancel out, leaving us with:
4√2
Therefore, the simplified expression ((√10) * (√16)) / (√5) is equal to 4√2.