Question

If someone would help me, that would be great.
Find the exact value of the radical expression in simplest form.
the square root of 169 − the square root of 50 − the square root of 8

13 − 7 the square root of 2

13 − 3 the square root of 2

7 the square root of 2

6
Find the exact value of the radical expression in simplest form.
r times the square root of r − 3 times r times the square root of r + 4 times r times the square root of r

2r

2 times r times the square root of r

2 the square root of r

the square root of r

Answer 1

first off \(\sqrt{169}=13\) right?

Answer 2

and since \(50=25\times 2\)we have \(\sqrt{50}=\sqrt{25\times 2}=\sqrt{25}\sqrt{2}=5\sqrt{2}\)

Answer 3

similarly \(\sqrt{8}=\sqrt{4}\sqrt{2}=2\sqrt{2}\)

Answer 4

so the first one, you can start with
\[13-5\sqrt2-2\sqrt2\] and then combine like terms