Question

Help with radicals, questions down in attachments.

Answer 1

we can't solve first 2 because of missing diagramd
but, longest side=hypotonuse=c
other 2 sides=legs=a and b
a^2+b^2=c^2

`\sqrt{a^(2)+b^(2)}=c`

last 2
1.
remember that
longest side<sum of other 2 sides or else you can't make a traignel
5+7=12
12<13
13 is longest side
13<12 is false
therefor it is false that it is a triangle
not a triangle


2.

`\sqrt{ (x)/(y) } = ( √(x) )/( √(y) )` so

`\sqrt{ (20)/(7) } = ( √(20) )/( √(7) )` =
`(4√(5) )/(√(7) )`
rationalize denomeator by multplying by
`( √(7) )/( √(7) )`


`(4√(35) )/(7)`