To find these, you will need to find the largest square root inside the radical sign. This is hard for me to explain, but I’ll see what I can do. I will use / as the radical symbol
Rewrite 3:
/45
We know that one pair of factors of 45 is 9 and 5. 9 is a perfect square— 3x3. Therefore, you will write it as 3/5
The number inside the sign cannot be squared in a while number while the number outside is already squared.
So you will rewrite inside the radical sign 9 • 5. To simplify it, you will find the square root of the perfect square. 3 *radical sign* 5
I hope that makes sense, feel free to shoot me a message if you’re confused. I’ll write the rest of the answers down below. Again, I will use / as the radical sign and rewrite 3 to make it easier.
Rewrite 3
/45
= /9•5
= /3•3•5
= 3/5
Rewrite 2
/28
= /4•7
= /2•2•7
= 2/7
Rewrite 1
/20
= /4•5
= /2•2•5
= 2/5
Rewrite 4
/36
= /6•6
= 6
^— This one is different because 36 is already a perfect square. 6•6=36
I had written out the multiplications of the squares because that was the way we were taught. We would cross out the same numbers and then write it outside the radical sign. Hope that helps :)
