Question

√50+√2
Which statement is true about the expression?
a. It is irrational and equal to 2√13
b. It is irrational and equal to 6√2
c. It is rational and equal to 2.
d. It is rational and equal to 6.

Answer 1

\[
\sqrt{50} + \sqrt{2} = \sqrt{2 \cdot 25} + \sqrt{2} = \sqrt{2} \cdot \sqrt{25} + \sqrt{2} = \\
= 5 \cdot \sqrt{2} + \sqrt{2} = 6 \cdot \sqrt{2}
\]