Answer: [tex]3\sqrt{5}[/tex] (if the font is too small it says 3 times the square root of 5)
We can write this as 3*sqrt(5) where "sqrt" stands for "square root"
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Explanation:
To simplify square root expressions like this, we need to factor 45 in such a way that we have one piece be a perfect square, and this perfect square is as large as possible. Go through the factors of 45 and circle all the perferct squares you find
1, 3, 5, 9, 15, 45
luckily 45 doesn't have that many factors. Note how 9*5 = 45 and how 9 is a perfect square. We'll use this to help simplify. I'm going to use the notation "sqrt" to mean "square root"
sqrt(45) = sqrt(9*5)
sqrt(45) = sqrt(9)*sqrt(5) ... breaking up the square root
sqrt(45) = 3*sqrt(5)
which is as simplified as it gets because 5 is prime and it doesn't have any perfect square factors.
Answer:
=3√5
Step-by-step explanation:
Answer:
=3√5
Look below for explanation: VVV
Explanation:
Simplifying this expression involves prime factorisation of 45
45=3⋅3⋅5
(3 and 5 are the prime factors of 45)
So
√45=√3⋅3⋅5
=√3^2⋅5
=3⋅√5
=3√5
Hope this helps, have a good day. c;
