Question

Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed

Answer 1

`\\ \rm\dashrightarrow10√(3x)+4√(3x)+5√(3x)+9√(3x)+9√(6x)+19√(3x)+19√(9x^3)`

`\\ \rm\dashrightarrow (10+4+5+9+19)√(3x)+9√(6x)+19√(3^2x^2x)`

`\\ \rm\dashrightarrow 47√(3x)+9√(2x)√(3x)+57x√(x)`

`\\ \rm\dashrightarrow (47+9√(2x))√(3x)+57x√(x)`

Answer 2

`19√(3x)`

Explanation:

Given expression:

`10 √(3x)+4√(3x)+5√(3x)`

Given answer options:

• 
  `9√(3x)`

• 
  `9√(6x)`

• 
  `19√(3x)`

• 
  `19√(9x^3)`

To simplify the given expression, factor out
`√(3x)`:

`\implies 10 √(3x)+4√(3x)+5√(3x)`

`\implies √(3x)(10+4+5)`

Add the numbers in the parentheses:

`\implies √(3x)(19)`

Rearrange to standard form:

`\implies 19√(3x)`

Therefore, the answer is the third option.