simplify: sqrt 4/5
a) 2 sqrt (5)
b) 2
c) 2 sqrt (5) / 5
d) sqrt (5)
You must mean
√(4/5) since none of the answers match your question.
√(4/5)
=√4/√5
= 2/√5 * √5/√5
= 2√5/5 , which looks like c)
√(4/5) = 2√(1/5)
I don't know what your parentheses mean.
To simplify the expression sqrt(4/5), you can start by simplifying the fraction inside the square root.
Since 4 and 5 do not have any common factors other than 1, the fraction 4/5 is already simplified.
Next, you can simplify the square root of 4/5.
To simplify a square root, you can look for perfect square factors within the expression.
The square root of 4 is 2, and the square root of 5 cannot be simplified further.
Therefore, sqrt(4/5) simplifies to:
sqrt(4/5) = sqrt(4) / sqrt(5) = 2/sqrt(5)
Hence, the simplified form of sqrt(4/5) is option c) 2 sqrt(5) / 5.