Question

9/2*sqrt(5)+121/12*sqrt(5)=

Answer 1

9/2*√5+121/12*√5=(9/2+121/12)*√5=
(54+121)/12*√5=175/12*√5=
=175√5/12

Answer 2

To simplify the expression, follow these steps:

1. Simplify each term on the left-hand side individually.
2. Combine like terms.

Let's go through it step by step:

1. Simplify each term:
   • Term 1: 9/2 * sqrt(5)
   • Term 2: 121/12 * sqrt(5)

To simplify Term 1, multiply the coefficient (9/2) by the square root of 5: Term 1 = (9/2) * sqrt(5) = (9/2) * sqrt(5)

To simplify Term 2, multiply the coefficient (121/12) by the square root of 5: Term 2 = (121/12) * sqrt(5) = (121/12) * sqrt(5)

2. Combine like terms: Combine Term 1 and Term 2: (9/2) * sqrt(5) + (121/12) * sqrt(5) = (9/2 + 121/12) * sqrt(5)

Now, let's find a common denominator for the coefficients in the parentheses: The common denominator for 2 and 12 is 12.

Rewrite the fractions with a common denominator: (9/2 + 121/12) * sqrt(5) = (54/12 + 121/12) * sqrt(5)

Add the fractions inside the parentheses: (54/12 + 121/12) = 175/12

Substitute the result back into the expression: (9/2 + 121/12) * sqrt(5) = (175/12) * sqrt(5)

Finally, the simplified expression is: 175/12 * sqrt(5)