How to simplify
the square root of 45 plus 4 square root 5
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 first break down the square roots into factors of the numbers inside.
1. Start by finding the factors of 45:
The factors of 45 are 1, 3, 5, 9, 15, and 45.
2. Next, we can represent the square root of 45 by breaking it into its prime factors:
√45 = √(3 * 3 * 5) = 3√5
3. Now we can rewrite the original expression with the simplified terms:
3√5 + 4√5
4. Since the square roots have the same radicand (5), we can combine them:
3√5 + 4√5 = (3 + 4)√5 = 7√5
Therefore, the simplified form of √45 + 4√5 is 7√5.