If the square root of 8+ the square root18 equal the square of X, find the value of x with out squaring both sides of the equations?
2007-03-11 16:48:33 · 10 answers · asked by king218@sbcglobal.net 1 in Science & Mathematics ➔ Mathematics
√8 + √18 = x^2
x^2=2√2+3√2
x^2=5√2=√50
x=50^(1/4)
2007-03-11 16:53:02 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Square root 8 + SQ root 18 = X^2
2(2)^1/2 + 3(2)^1/2 = X^2
5(2)^1/2 = X^2
X = (50)^1/4
= 2.659
But I think you have asked the question wrong. It's probably, square root of 18 + Square root of 8 = square root of X oppsed to square of X. In which case the answer would be 50
2007-03-11 23:54:03 · answer #2 · answered by boonu 2 · 0⤊ 0⤋
x^2 = â8 + â18
= 2â2 +2â3
= 2 (â2 + â3)
x = â[(â2 +â3)]
2007-03-12 01:40:33 · answer #3 · answered by neuroaster 3 · 0⤊ 0⤋
â8+ â18 = x²
2â2+3â2 = x²
x² = 5â2
x = â(5â2)
x = â10
<><
2007-03-11 23:55:07 · answer #4 · answered by aeiou 7 · 0⤊ 0⤋
sqrt 8 + sqrt 18 = x
x=5 times the sqrt 2
2007-03-11 23:53:43 · answer #5 · answered by mgreens69 1 · 0⤊ 1⤋
simplify square root of 8 to 2square root of 2.do same for squareroot of 18 to get 3squareroot of 2. Add 2square root of 2 and 3squareroot of 2 to get 5squareroot of 2. so the answer is50
2007-03-11 23:56:15 · answer #6 · answered by al 3 · 0⤊ 0⤋
Here, I assumed you meant sqrt(x) instead of the square of x. Otherwise, a fellow below did it right and this ir wrong.
sqrt(x) = sqrt(8) + sqrt(18) = 2sqrt(2) + 3sqrt(2) = 5sqrt(2) = sqrt(50).
So x=50.
2007-03-11 23:51:02 · answer #7 · answered by mitch w 2 · 2⤊ 1⤋
sqrt(8) + sqrt(18) = x^2
sqrt(4 * 2) + sqrt(9 * 2)
2sqrt(2) + 3sqrt(2)
(2 + 3)sqrt(2)
5sqrt(2)
x^2 = 5sqrt(2)
x^2 = sqrt(50)
x^2 = (50^(1/2))
x^2 = (50^(1/4))^2
x = 50^(1/4)
2007-03-11 23:55:28 · answer #8 · answered by Sherman81 6 · 0⤊ 0⤋
50.
sqrt(8) + sqrt(18) = 7.071067812
7.071067812^2 = 50
2007-03-11 23:51:09 · answer #9 · answered by Anonymous · 0⤊ 2⤋
just calculate it with a calculator
2007-03-11 23:52:35 · answer #10 · answered by Catman 4 · 0⤊ 0⤋