Leaving Certificate Higher Level

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Presentation transcript:

Leaving Certificate Higher Level Surds Leaving Certificate Higher Level

Used to rationalise a denominator Surd Equations

Importance of Checking Solutions © P. Kavanagh, 2006

It is vital to check solutions as the squaring method can introduce incorrect solutions. © P. Kavanagh, 2006 1994 Q1 (a)

It is vital to check solutions as the squaring method can introduce incorrect solutions. © P. Kavanagh, 2006 1994 Q1 (a)

Multiply above and below by the conjugate surd. The bottom line above is the factors of the difference of two squares Note: With a Casio fx – 83 ES calculator, you can enter this surd using the fraction button. © P. Kavanagh, 2006 1996 Q1 (a)

Multiply above and below by the conjugate surd. The bottom line above is the factors of the difference of two squares Note: With a Casio fx – 83 ES calculator, you can enter this surd using the fraction button. © P. Kavanagh, 2006 1996 Q1 (a)

Multiply above and below by the conjugate surd. © P. Kavanagh, 2006 1999 Q1 (a)

Multiply above and below by the conjugate surd. © P. Kavanagh, 2006 1999 Q1 (a)

It is vital to check solutions as the squaring method can introduce incorrect solutions. © P. Kavanagh, 2006 2002 Q1 (a)

It is vital to check solutions as the squaring method can introduce incorrect solutions. © P. Kavanagh, 2006 2002 Q1 (a)

Multiply above and below by the conjugate surd. Note: With a Casio fx – 83 ES calculator, you can enter this surd using the fraction button. © P. Kavanagh, 2006 2004 Q1 (a)

Multiply above and below by the conjugate surd. Note: With a Casio fx – 83 ES calculator, you can enter this surd using the fraction button. © P. Kavanagh, 2006 2004 Q1 (a)