How to simplify
the square root of 45 plus 4 square root 5
*reposted*
first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal.
notice that we can further simplify squareroot of 45 as
sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5)
now, we can combine them:
3*sqrt(5) + 4*sqrt(5)
7*sqrt(5)
hope this helps~ :)
To simplify the expression √45 + 4√5, we need to simplify each square root term separately and then combine them if possible.
Let's start with √45:
The square root of 45 can be simplified by factoring it into its prime factors. 45 can be written as 9 * 5, and 9 is a perfect square (3 * 3).
√45 = √(9 * 5) = √9 * √5 = 3√5
Next, let's simplify 4√5. Since 4 is a constant, it cannot be simplified:
4√5 = 4√5
Now, we can combine the simplified terms:
√45 + 4√5 = 3√5 + 4√5
To combine like terms, we add their coefficients:
3√5 + 4√5 = (3 + 4)√5 = 7√5
Therefore, √45 + 4√5 simplifies to 7√5.