For radical 8 + radical 18 = radical x, find the value of x without squaring both sides of the equation.?

Question

Please show all work!

Answer 1

radical 8 = 2 sqrt(2)
radical 18= 3 sqrt(2)
Add them up to get 5 sqrt(2)
To move the coefficient inside the radical, square 5 and multiply by 2 to get sqrt(50).

Answer 2

√8 + √18 = √x

√8 = 2√2 and √18 = 3√2

2√2 + 3√2 = √x

5√2 = √x let x = 2n^2 then √x = n√2 and n = 5

since x = 2n^2, x = 2*5^2 and x = 50

Answer 3

root 8 simplifies to 2 root 2
root 18 simplifies to 3 root 2
Add the 2 and the 3 to get 5 root 2
or if it all has to be under the radical : root 50, or 7.07 if you need the decimal answer.

Answer 4

sq. root 8 + squareroot 18 = X^2 2(2)^a million/2 + 3(2)^a million/2 = X^2 5(2)^a million/2 = X^2 X = (50)^a million/4 = 2.659 yet i imagine you've requested the question incorrect. that's likely, sq. root of 18 + sq. root of 8 = sq. root of X oppsed to sq. of X. in which case the answer might want to be 50

Answer 5

√8 + √18 = √x
√2(√4 + √9) = √x
5 = √(x/2)
x = 50

HTH

Doug

Answer 6

144