Rounded to five decimal places, sqrt(2) + sqrt(7) = 4.05996.
Expressed as a surd, sqrt(98) + sqrt(2) = 8 sqrt(2).
2*sqrt(12) + sqrt(27) = 2*sqrt(4*3) +sqrt(9*3) = 2*sqrt(4)*sqrt(3) + sqrt(9)*sqrt(3) = 2*2*sqrt(3) + 3*sqrt(3) = 4*sqrt(3) + 3*sqrt(3) = 7*sqrt(3)
1/[5 + 3*sqrt(2)] = [5 - 3*sqrt(2)]/{[5 + 3*sqrt(2)][5 - 3*sqrt(2)]} = [5 + 3*sqrt(2)]/[25 - 18] = [5 - 3*sqrt(2)]/7
+sqrt(5)
No
Rounded to five decimal places, sqrt(2) + sqrt(7) = 4.05996.
sqrt(8) + sqrt(8) = 2 sqrt(8) = 2 sqrt(4 x 2) = 2 sqrt(4) sqrt(2) = 2 x 2 sqrt(2) = 4 sqrt(2) = 5.657(rounded)
-2 sqrt(8) + [ 2 sqrt(2) - 3 sqrt(18) ] = -2 sqrt (4 x 2) + 2 sqrt(2) - 3 sqrt (9 x 2) = -2 (2) sqrt(2) + 2 sqrt(2) - 3 (3) sqrt(2) = -4 sqrt(2) + 2 sqrt(2) -9 sqrt(2) = -11 sqrt(2)
2*sqrt(0.5 + 0.25*sqrt(2)) + 2i*sqrt(0.5 - 0.25*sqrt(2)) -2*sqrt(0.5 - 0.25*sqrt(2)) + 2i*sqrt(0.5 + 0.25*sqrt(2)) -2*sqrt(0.5 + 0.25*sqrt(2)) - 2i*sqrt(0.5 - 0.25*sqrt(2)) 2*sqrt(0.5 - 0.25*sqrt(2)) - 2i*sqrt(0.5 + 0.25*sqrt(2))
x2+2x-4 = 0 x = (-2 plus/minus sqrt (4-(4x1x-4)) / 2 x = (-2 plus/minus sqrt 20)/2 x = (-2 - sqrt 20)/2 or (-2 + sqrt 20)/2 x = -3.236 or 1.236
Expressed as a surd, sqrt(98) + sqrt(2) = 8 sqrt(2).
6*sqrt(50) + 6*sqrt(2) = 6*sqrt(25*2) + 6*sqrt(2) = 6*sqrt(25)*sqrt(2) + 6*sqrt(2) = 6*5*sqrt(2) + 6*sqrt(2) = 30*sqrt(2) + 6*sqrt(2) = 32*sqrt(2)
sqrt(8) + sqrt(2) = 2sqrt(2) + sqrt(2) = 3sqrt(2)
sqrt(a2 + a2) = sqrt(2a2) = sqrt(2)*sqrt(a2) = sqrt(2)*asqrt(a2 + a2) = sqrt(2a2) = sqrt(2)*sqrt(a2) = sqrt(2)*asqrt(a2 + a2) = sqrt(2a2) = sqrt(2)*sqrt(a2) = sqrt(2)*asqrt(a2 + a2) = sqrt(2a2) = sqrt(2)*sqrt(a2) = sqrt(2)*a
[The sqrt(3)+sqrt(2)]/sqrt(6)can be solved by multiply the numerator and denominator by sqrt(6)This gives sqrt(18)+sqrt(12)/6This can be simplified to[3(sqrt(2)+2(sqrt(3)]/6
5sqet(2) + sqrt(18) NB sqrt(18) = sqrt(2 x 9) = sqrt(2)Sqrt(9) = 3sqrt(2) Hence 5 sqrt(2) + 3sqrt(2) = 8sqrt(2)