Question

WILL MEDAL AND FAN!

Perform the following operations and write the answers in rational exponent form.

√7 + √3 + √98 - √18

and

3√5 - 3√11 + 2√121 -3√90

Answer 1

@SerenityJustice74

Answer 2

@leonardo0430

Answer 3

Sorry, I was messging my friend. Okay what do you think? Where can you start?
Think about PEMDAS

Answer 4

That's what I thought, but I was absent this day and didn't know if there was a certain way to do this.

Answer 5

Oh you have to simplify it as well. Do you know how to break down square roots into simple forms?

Answer 6

Yeah, don't you have to find factors of them or something?

Answer 7

Hmm yes, kinda. You get the factors of the number and make sure one of them can be square rooted so you can keep the other inside the square root.
@Mehek14 teach please. i feel depressed.

Answer 8

@ParthKohli

Answer 9

we have to simplify √98 and √18
list their factors

Answer 10

2 * 49 and 2*9

Answer 11

is that all?

Answer 12

so √98 = 7√2 and √18 = 3√2
now we have:

√7 + √3 + 7√2- 3√2

we can combine 7√2 - 3√2

just subtract 7 - 3

Answer 13

alright, and that's it?

Answer 14

well tell me what u get :)

Answer 15

/ = radical
/4 + 4/2

Answer 16

o-0 what

Answer 17

idk what im doing

Answer 18

all you have to do is combine 7√2 - 3√2
and to do that, subtract 7 - 3 and keep √2 as is

Answer 19

oh ok
so √7 + √3 - 4√2?

Answer 20

positive 4

√7 + √3 + 4√2

Answer 21

yeah, i see why now
thanks

Answer 22

yw :)

Answer 23

and what about the other one?

Answer 24

3√5 - 3√11 + 2√121 -3√90

we can simplify 2√121

and 3√90

list their factors

Answer 25

18 * 5?

Answer 26

wait no

Answer 27

no because 18 can be simplified more

Answer 28

yeah, so 9 and 10

Answer 29

and 121 is 1 * 121?

Answer 30

right so
-3√90 = -3*3√10
-3 * 3 = -9
-9√10

and no 121 is a perfect square

Answer 31

ok, i knew it was a perfect square but i wasnt sure if i had to do anything to it.

Answer 32

so 121 just becomes 11

and u had a 2 in front of it so 2 * 11 = ?

Answer 33

2√11?

Answer 34

nope
don't need √11 because perfect squares don't need to be radicals

it becomes just 11

Answer 35

oh ok

Answer 36

so now multiply 11 * 2

Answer 37

22

Answer 38

so we have
3√5 - 3√11 + 22 -9√10

Answer 39

that's all

Answer 40

alright
thanks so much, and sorry for taking so long to understand

Answer 41

it's alright :)

Answer 42

wait, so is that in rational exponent form?

Answer 43

@Mehek14

Answer 44

you didn't have any exponents tho o-0

Answer 45

that's what my problem says, my teacher must of made a typo or something

Answer 46

thanks again

Answer 47

yw :)