## Spartan_Of_Ares 2 years ago what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75)

1. Spartan_Of_Ares

$\sqrt(27)+\sqrt(32)-\sqrt(75)$

2. Spartan_Of_Ares

@zaynahf if your not busy can you help me out?

3. zaynahf

Sure, i can! Do you know how to simplify radicals?

4. Spartan_Of_Ares

not really

5. Spartan_Of_Ares

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6. zaynahf

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: $\sqrt{9 \times 3} = 3\sqrt{3}$

7. Spartan_Of_Ares

so i can get $\sqrt16X2 = 4\sqrt2 ?$

8. zaynahf

Yeah! Now try the third one

9. Spartan_Of_Ares

$\sqrt75 = \sqrt5X15 = 5\sqrt5?$

10. zaynahf

No, since neither 15 nor 5 are perfect squares. Here are the perfect squares: 1,4,9,16,25,36,49,64,81,100....

11. Spartan_Of_Ares

so $aaaannnnnd`im lost$

12. zaynahf

lol i'll guide you through

13. Spartan_Of_Ares

ok

14. zaynahf

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.

15. Spartan_Of_Ares

64

16. zaynahf

64 goes into 75 evenly?

17. Spartan_Of_Ares

oh no 25

18. zaynahf

Good! Now what times 25 is 75?

19. Spartan_Of_Ares

3

20. zaynahf

So thats what goes under the radical: $\sqrt{75}= \sqrt{25 \times 3}= 5\sqrt{3}$ Right?

21. Spartan_Of_Ares

ok what do i do now multiply them together?

22. zaynahf

$3\sqrt{3}+4\sqrt{2}-5\sqrt{3}$ Is that what you have so far?

23. Spartan_Of_Ares

yes

24. zaynahf

There are only 2 with the same base radical, so you can only simplify those

25. Spartan_Of_Ares

so i get $8\sqrt3+ 4\sqrt2$

26. zaynahf

Remember, it's 3-5, not 3+5

27. Spartan_Of_Ares

-2√3+4√2

28. Spartan_Of_Ares

is that my final answer?

29. zaynahf

Perfect

30. zaynahf

Yes it is

31. Spartan_Of_Ares

thnxs so much ^_^ now i can sleep ... eh maybe

32. zaynahf

No problem! Let me know if you need other help