Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

Step 1: Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of 2-sqrt(3) is 2+sqrt(3). 2+sqrt(3)2-sqrt(3) = 2+sqrt(3)2-sqrt(3) × 2+sqrt(3)2+sqrt(3) Step 2: Expand the numerator and the denominator. Numerator: (2+sqrt(3))(2+sqrt(3)) = 2(2) + 2sqrt(3) + 2sqrt(3) + (sqrt(3))^2 = 4 + 4sqrt(3) + 3 = 7 + 4sqrt(3) Denominator: (2-sqrt(3))(2+sqrt(3)) = 2^2 - (sqrt(3))^2 = 4 - 3 = 1 Step 3: Simplify the expression. 7 + 4sqrt(3)1 = 7 + 4sqrt(3) The simplified expression is 7 + 4sqrt(3). Step 4: Evaluate the expression using sqrt(3) = 1.732. Substitute the value of sqrt(3) into the simplified expression 7 + 4sqrt(3). 7 + 4(1.732) Step 5: Perform the multiplication. 4 × 1.732 = 6.928 Step 6: Perform the addition. 7 + 6.928 = 13.928 The evaluated value is 13.928. Last free one today — make it count tomorrow, or type /upgrade for unlimited.