Question

What is the exact value for the expression the square root of 52. − the square root of 13. + the square root of 117.? Simplify if possible.
4 the square root of 13.
the square root of 13.
2 the square root of 39.
8 the square root of 39.

Answer 1

Answer:

  4√13

Step-by-step explanation:

$\sqrt{52}-\sqrt{13}+\sqrt{117}=\sqrt{4\cdot 13}-\sqrt{13}+\sqrt{9\cdot 13}\\\\=(\sqrt{4}-1+\sqrt{9})\sqrt{13}=(2-1+3)\sqrt{13}\\\\=4\sqrt{13}$