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## Spartan_Of_Ares Group Title what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75) one year ago one year ago

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1. Spartan_Of_Ares Group Title

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

2. Spartan_Of_Ares Group Title

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

3. zaynahf Group Title

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

4. Spartan_Of_Ares Group Title

not really

5. Spartan_Of_Ares Group Title

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6. zaynahf Group Title

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 Group Title

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

8. zaynahf Group Title

Yeah! Now try the third one

9. Spartan_Of_Ares Group Title

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

10. zaynahf Group Title

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 Group Title

so $aaaannnnnd`im lost$

12. zaynahf Group Title

lol i'll guide you through

13. Spartan_Of_Ares Group Title

ok

14. zaynahf Group Title

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 Group Title

64

16. zaynahf Group Title

64 goes into 75 evenly?

17. Spartan_Of_Ares Group Title

oh no 25

18. zaynahf Group Title

Good! Now what times 25 is 75?

19. Spartan_Of_Ares Group Title

3

20. zaynahf Group Title

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

21. Spartan_Of_Ares Group Title

ok what do i do now multiply them together?

22. zaynahf Group Title

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

23. Spartan_Of_Ares Group Title

yes

24. zaynahf Group Title

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

25. Spartan_Of_Ares Group Title

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

26. zaynahf Group Title

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

27. Spartan_Of_Ares Group Title

-2√3+4√2

28. Spartan_Of_Ares Group Title

is that my final answer?

29. zaynahf Group Title

Perfect

30. zaynahf Group Title

Yes it is

31. Spartan_Of_Ares Group Title

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

32. zaynahf Group Title

No problem! Let me know if you need other help