Question

what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75)

Answer 1

\[\sqrt(27)+\sqrt(32)-\sqrt(75)\]

Answer 2

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

Answer 3

Sure, i can!

Do you know how to simplify radicals?

Answer 4

not really

Answer 5

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Answer 6

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: \[\sqrt{9 \times 3} = 3\sqrt{3}\]

Answer 7

so i can get \[\sqrt16X2 = 4\sqrt2 ?\]

Answer 8

Yeah! Now try the third one

Answer 9

\[\sqrt75 = \sqrt5X15 = 5\sqrt5?\]

Answer 10

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

Answer 11

so \[aaaannnnnd`im lost\]

Answer 12

lol i'll guide you through

Answer 13

ok

Answer 14

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.

Answer 15

64

Answer 16

64 goes into 75 evenly?

Answer 17

oh no 25

Answer 18

Good! Now what times 25 is 75?

Answer 19

3

Answer 20

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

Answer 21

ok what do i do now multiply them together?

Answer 22

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

Answer 23

yes

Answer 24

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

Answer 25

so i get \[8\sqrt3+ 4\sqrt2\]

Answer 26

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

Answer 27

-2√3+4√2

Answer 28

is that my final answer?

Answer 29

Perfect

Answer 30

Yes it is

Answer 31

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

Answer 32

No problem! Let me know if you need other help