Question

What is the exact value for the expression sqrt(171)- sqrt(19)+sqrt(76)

Answer 1

Check if the values under the square root have a least common factor.

Answer 2

no nothing goes into 19

Answer 3

Remember that 19 is a factor of 19

Answer 4

so would it just be 19

Answer 5

Ok then split the other larger values up for exampe sqrt(50)=sqrt(25*2)

Answer 6

sqrt(171)= (19*9)
srt(19)= (19*1)
sqrt(76)=(
19*4)

Answer 7

Now sqrt(a*b)=sqrt(a)*sqrt(b)

Answer 8

19 sqrt(9)
19 sqrt(1)
19 sqrt(4)

Answer 9

No you still need the sqrt over your 19s

Answer 10

o ok
sqrt (19) sqrt(9)
sqrt(19) sqrt(1)
sqrt(19) sqrt(4)

Answer 11

Now some of those can be simplified. Then substitute them back into your original equation

Answer 12

wouldn't be 17.43558577416269

Answer 13

That's not an exact value. When values that are not perfect squares are under square roots, you cant simplify any more without approximating

Answer 14

oh ok

Answer 15

oh my goodness i would have nvr thought to do this ans is sqrt 304

Answer 16

would you get 4 sqrt(19)

Answer 17

Yes

Answer 18

thank you