SOLUTION: What is the square root of 18? But it has to be simplifed. My teacher said i had to do something with factors to get the answer but he lost me.

Algebra ->  Radicals -> SOLUTION: What is the square root of 18? But it has to be simplifed. My teacher said i had to do something with factors to get the answer but he lost me.      Log On


   

Question 219094: What is the square root of 18? But it has to be simplifed. My teacher said i had to do something with factors to get the answer but he lost me.
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2818%29+=+sqrt%282%2A9%29
sqrt%282%2A9%29+=+sqrt%282%29%2Asqrt%289%29
sqrt%282%29%2Asqrt%289%29+=+3%2Asqrt%282%29
sqrt%282%29+=+1.414
3%2Asqrt%282%29+=+3%2A1.414
3%2A1.414+=+4.243 answer
check:
sqrt%2818%29+=+4.243
Square both sides
18+=+18.0030 (error due to rounding off)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Derive the prime factorization of the radicand.



So:



Because:



But



So:



John