Spartan_Of_Ares
what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75)
Delete
Share
This Question is Closed
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
\[\sqrt(27)+\sqrt(32)-\sqrt(75)\]
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
@zaynahf if your not busy can you help me out?
zaynahf
Best Response
You've already chosen the best response.
2
Sure, i can!
Do you know how to simplify radicals?
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
not really
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
><
---
zaynahf
Best Response
You've already chosen the best response.
2
To simplify radicals, you have to try to find a perfect square that fits perfectly into the number. So for the first one:
\[\sqrt{27}\] the biggest perfect square that can fit into it is 9. So, the inside would simplify to be: \[\sqrt{9 \times 3} = 3\sqrt{3}\]
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
so i can get \[\sqrt16X2 = 4\sqrt2 ?\]
zaynahf
Best Response
You've already chosen the best response.
2
Yeah! Now try the third one
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
\[\sqrt75 = \sqrt5X15 = 5\sqrt5?\]
zaynahf
Best Response
You've already chosen the best response.
2
No, since neither 15 nor 5 are perfect squares.
Here are the perfect squares:
1,4,9,16,25,36,49,64,81,100....
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
so \[aaaannnnnd`im lost\]
zaynahf
Best Response
You've already chosen the best response.
2
lol i'll guide you through
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
ok
zaynahf
Best Response
You've already chosen the best response.
2
Ok since you want to get the biggest one that goes into there, start from the top of the list. Try seeing if 100 goes into 75 (obviously not), so just start from the smallest number after 75. 64,36,25,16,4,1. When you find the one that goes into 72, let me know.
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
64
zaynahf
Best Response
You've already chosen the best response.
2
64 goes into 75 evenly?
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
oh no 25
zaynahf
Best Response
You've already chosen the best response.
2
Good! Now what times 25 is 75?
zaynahf
Best Response
You've already chosen the best response.
2
So thats what goes under the radical:
\[\sqrt{75}= \sqrt{25 \times 3}= 5\sqrt{3}\]
Right?
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
ok what do i do now multiply them together?
zaynahf
Best Response
You've already chosen the best response.
2
\[3\sqrt{3}+4\sqrt{2}-5\sqrt{3}\]
Is that what you have so far?
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
yes
zaynahf
Best Response
You've already chosen the best response.
2
There are only 2 with the same base radical, so you can only simplify those
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
so i get \[8\sqrt3+ 4\sqrt2\]
zaynahf
Best Response
You've already chosen the best response.
2
Remember, it's 3-5, not 3+5
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
-2√3+4√2
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
is that my final answer?
zaynahf
Best Response
You've already chosen the best response.
2
Perfect
zaynahf
Best Response
You've already chosen the best response.
2
Yes it is
Spartan_Of_Ares
Best Response
You've already chosen the best response.
0
thnxs so much ^_^ now i can sleep ... eh maybe
zaynahf
Best Response
You've already chosen the best response.
2
No problem! Let me know if you need other help