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If Rational Quantities are joined to Surd Quantities of the fame Kind, divide the Rational by the Rational, if it can be done, and to the Quotient join the Quotient of the Surd, divided by the Surd, with its firft radical Sign.

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WHE

HEN the Surds are not joined to rational Quantities, they are involved to the faine Height as their Index denotes, by taking away their radical Sign.

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When Surds are joined to rational Quantities, involve the rational Quantities to the fame Height as the Index of the Surd denotes; then multiply the involved Quantities into the Surd Quantities, after the radical Sign is taken away, as before.

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EQUATIONS.

Lgebra folves Problems by Equations.
Equations we
we make ufe of five Proceffes.

AEquations

In

The firft brings each Side of the Equation to an entire Praction,

The fecond, brings Equations into Integers, by metiplying alternately the Numerator of each Side into the Denominator of the other.

The third, brings by Tranfpofition the feveral Members of the unknown Quantities to the fame Side of the Equation, (viz.) to that Side, which after Tranfpofition, will render them Affirmative.

The

The fourth, tranfpofes all loofe Quantities from the Side of the unknown, to the other Side of the Equation.

The fifth, finds the unknown Quantity, by dividing the whole Equation by its Coefficient.

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2X4x-53 180x

114x+171

4x-5

225 = 114x + 171

3+225 4180*= 114x+396

4-114x566x= 396

5÷66 6x=6

EXAMPLE.

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