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2 If 4sqrt(3x)+5sqrt(3x) is equal to asqrt(bx), what is a+b ?

22\newlineIf 43x+53x 4 \sqrt{3 x}+5 \sqrt{3 x} is equal to abx a \sqrt{b x} , what is a+b a+b ?

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Q. 22\newlineIf 43x+53x 4 \sqrt{3 x}+5 \sqrt{3 x} is equal to abx a \sqrt{b x} , what is a+b a+b ?
  1. Combine like terms: Combine like terms by adding the coefficients of 3x\sqrt{3x} together.\newlineCalculation: 43x+53x=(4+5)3x4\sqrt{3x} + 5\sqrt{3x} = (4 + 5)\sqrt{3x}
  2. Simplify addition: Simplify the addition inside the parentheses.\newlineCalculation: (4+5)3x=93x(4 + 5)\sqrt{3x} = 9\sqrt{3x}
  3. Identify aa and bb: Now we have 93x9\sqrt{3x} which is the same as abxa\sqrt{bx}, so aa equals 99 and bxbx must be 3x3x.\newlineCalculation: a=9a = 9 and b=3b = 3
  4. Add aa and bb: Add aa and bb to find the sum.\newlineCalculation: a+b=9+3a + b = 9 + 3
  5. Final answer: Simplify the addition to get the final answer.\newlineCalculation: 9+3=129 + 3 = 12

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