Question

What is the exact value for the expression the square root of 153 minus the square root of 17 plus the square root of 68.

Answer 1

@precal @jdoe0001

Answer 2

try using the equation on the bottom to post your question, give it a try

Answer 3

k

Answer 4

\[\sqrt{153}-\sqrt{17}+\sqrt{68}\]

Answer 5

do I do the factor tree @precal

Answer 6

yes

Answer 7

you are trying to find the same number under the radical

Answer 8

Oh ok so 153 is divisble by 9

Answer 9

yes and the square root of 9 is 3 so that would be a good choice

Answer 10

9 and 17

Answer 11

yup

Answer 12

do the same to the rest and tell me your answer and I will double check you

Answer 13

Hold on

Answer 14

\(\bf {
\sqrt{153}-\sqrt{17}+\sqrt{68}
\\ \quad \\
{\color{brown}{ 153\to 3\cdot 3\cdot 17\to 3^2\cdot 17\qquad 68\to 2\cdot 2\cdot 17\to 2^2\cdot 17}}\quad thus
\\ \quad \\
\sqrt{{\color{brown}{ 3^2\cdot 17}}}-\sqrt{17}+\sqrt{{\color{brown}{ 2^2\cdot 17}}}\implies 3\sqrt{17}-\sqrt{17}+2\sqrt{17}\implies ?
}\)

Answer 15

not sure if thats right... @jdoe0001

Answer 16

hmmm well... what's.... wrong you think?

Answer 17

yes doing good so far

Answer 18

I have\[\sqrt[4]{17}\] and

Answer 19

\[\sqrt{17}\]

Answer 20

9 can be written as 3^2
square root of 9 is 3

Answer 21

those re the closest

Answer 22

3-1+2=2+2=4
so 4 times square root of 17

Answer 23

o ok thanks! I might have one more that is giving me problems

Answer 24

you are looking to create like terms, in this case we use the square root of 17 as our like term, then you just combine the coefficients.

Answer 25

no problem, close this one out and post a new thread

Answer 26

ok its like the first one we did