SOLUTION: Can you please explain the whole process of how to simplify the square root of 20. I see that the answer is 2 square roots of 5. But how do I get this answer?

Question 491371: Can you please explain the whole process of how to simplify the square root of 20. I see that the answer is 2 square roots of 5. But how do I get this answer?
Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
basically, you factor the 20 into factors that you can take the square root of.
square root of (20) is equivalent to square root of (4 * 5)
since you know that the square root of 4 is equal to 2, then you can remove the 4 from under the square root sign and make it a 2 outside the square root sign.
you get square root of (20) = 2 * square root of (5).

the principle involve is that the square root of (x^2) is equal to x.

replace x with 2 in this example and you get the square root of (2^2) is equal to 2

another principle involved is that the square root of (a * b) is equal to the square root of (a) times the square root of (b).

this allows you to take square root of (4 * t) and make it into square root of (4) times the square root of (5).

since you already know that the square root of (4) is equal to 2, then square root of (4) * square root of (5) becomes 2 * square root of (5).

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
I'm looking to learn the procedure in (x^3)square root of 8x^5 its asking to simplify... (answered by MathLover1)
Please show be the complete process on how to simplify the following. square root of... (answered by rapaljer)
Dear Math Tutor, Please help me simplify: 5(square root of 2+1)- square root of 2(4-3 (answered by ben720)
Use Property 1 to simplify the following radical expressions. Assume that all variables... (answered by stanbon)
What is the answer to this question: Simplify the square root of 12 plus the square root... (answered by Alan3354,ewatrrr)
help. simplify and reduce to lowest terms square root of 16 divided by square root of 32 (answered by ewatrrr)
hello,im homeschooled and i had a problem solving this expression. can you please check (answered by josmiceli)
I have a problem that says to simplify. I can get as far as the square root of 68. The... (answered by sarah_adam)
Can you please tell me how this problem gets solved? I'd like to see the steps from the... (answered by Alan3354)