An expression is shown below:

square root of 50 plus square root of 2

Which statement is true about the expression?

It is irrational and equal to 2 multiplied by the square root of 13.

It is irrational and equal to 6 multiplied by the square root of 2.

It is rational and equal to 2.

It is rational and equal to 6.

Question

An expression is shown below:

square root of 50 plus square root of 2

Which statement is true about the expression?

It is irrational and equal to 2 multiplied by the square root of 13.

It is irrational and equal to 6 multiplied by the square root of 2.

It is rational and equal to 2.

It is rational and equal to 6.

anonymous · Answer

@welshfella , @Miss.SweetiePie

anonymous · Answer

D

anonymous · Answer

How did you find that out?

anonymous · Answer

its hard for me to explain, i was between c and D and D stood out more from what I did, if I am correct maybe @welshfella can explain

anonymous · Answer

Well, I guess it is 6 because that is what I got.

welshfella · Answer

sqrt 50 + sqrt 2
= sqrt 2 * sqrt 25 + sqrt2
= 5 sqrt2 + sqrt 2
= 6 sqrt 2

welshfella · Answer

sqrt2 is irrational so 6 sqrt2 is also irrational

welshfella · Answer

to simplify radicals like sqrt 50 look for factors which are perfect squares
50 = 2 * 25   and 25 is  a perfect square  
( squre root 25 = 5)

so sqrt 50 = sqrt ( 2 * sqrt25) = sqrt2 * sqrt 25  = 5 sqrt 2

welshfella · Answer

so the second statement is correct  - B

anonymous · Answer

Okay, thanks to both of you!

welshfella · Answer

yw

anonymous · Answer

thank you @welshfella  for explaining

welshfella · Answer

no probs