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 can look for common factors in the square roots and then combine them.
First, let's determine the factors of 45. The prime factorization of 45 is 3 × 3 × 5, which means we can rewrite the square root of 45 as √(3 × 3 × 5).
Next, let's break down the expression further. We have √(3 × 3 × 5) + 4√5.
Taking the square root of 3 × 3 gives us 3, so we can rewrite the expression as:
3√5 + 4√5
Now, we have two terms with the same square root (√5), so we can combine them by adding their coefficients:
3√5 + 4√5 is equal to (3 + 4)√5, which simplifies to 7√5.
Therefore, the simplified form of √45 + 4√5 is 7√5.