Question

What is √45 in simplest radical form? Enter your answer in the box.
PLEASE HELP

Answer 1

=3√5

Step-by-step explanation:

Answer:

=3√5

Look below for explanation: VVV

Step-by-step 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;

Answer 2

Answer:
`3√(5)` (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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Step-by-step 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.