SOLUTION: Can anyone help me to simplify by combining like terms: sqrt63 - 2sqrt28 + 5sqrt7 I appreciate any help with this radical expression. sean32485

Algebra ->  Radicals -> SOLUTION: Can anyone help me to simplify by combining like terms: sqrt63 - 2sqrt28 + 5sqrt7 I appreciate any help with this radical expression. sean32485      Log On


   

Question 79189: Can anyone help me to simplify by combining like terms:
sqrt63 - 2sqrt28 + 5sqrt7
I appreciate any help with this radical expression.
sean32485
Found 2 solutions by ankor@dixie-net.com, pandion:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can anyone help me to simplify by combining like terms:
sqrt63 - 2sqrt28 + 5sqrt7
:
note the squares inside each radical:
sqrt%289%2A7%29+-+2%2Asqrt%284%2A7%29+%2B+sqrt%287%29
:
Extract those squares:
3%2Asqrt%287%29+-+2%2A2%2Asqrt%287%29+%2B+sqrt%287%29
:
3%2Asqrt%287%29+-+4%2Asqrt%287%29+%2B+1%2Asqrt%287%29
:
Combine like terms and you have:
3 - 4 + 1 = 0 so you have:
0%2Asqrt%287%29 or just 0
:
:
you can check it on good calculator: enter:sqrt%2863%29+-+2%2Asqrt%2828%29+%2B+sqrt%287%29 It should = 0

Answer by pandion(6) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%2863%29+-+2sqrt%2828%29+%2B+5sqrt%287%29
sqrt%287%2A9%29+-+2sqrt%287%2A4%29+%2B+5sqrt%287%29
3sqrt%287%29+-+2%282%29sqrt%287%29+%2B+5sqrt%287%29
3sqrt%287%29+-+4+sqrt%287%29+%2B+5sqrt%287%29
same indexes and bases so add directly
4sqrt%287%29