Solve x(5(3^0.5)+4(12^0.5))=(48^0.5) to the simplest form. (4 Marks)

The aim of the question is to equate x= into an expression.Step 1. Look to see if you can simplify the equation. On the left hand side of the equation you can see that 3 is a factor of 12. And also a factor of 48. You can also see that the other factors of 48 and 12 are perfect square numbers. Please see whiteboard. Step 2.Hence if you divide through by the square root of 3, both sides of the equations become integer values.x((5)+(4*2))=(4)13x=4Step 3.Equate to =x. And simplify,x=4/13In this case it is already in its simplest form, you might be able to divide both numerator and denominator by an integer to simplify.

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