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

4√13

Explanation:

`√(52)-√(13)+√(117)=√(4\cdot 13)-√(13)+√(9\cdot 13)\\\\=(√(4)-1+√(9))√(13)=(2-1+3)√(13)\\\\=4√(13)`