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Let $a = \sqrt{2}$ - Leaving Cert Mathematics - Question b - 2012

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Let $a = \sqrt{2}$. (a) For each of the numbers in the table below, tick (✓) the correct box to say whether it is rational or irrational. | Number | rati... show full transcript

Worked Solution & Example Answer:Let $a = \sqrt{2}$ - Leaving Cert Mathematics - Question b - 2012

Step 1

Show the following numbers on the number line below: $a$

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Answer

a=21.414a = \sqrt{2} \approx 1.414

Step 2

Show the following numbers on the number line below: $-a$

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Answer

a=21.414-a = -\sqrt{2} \approx -1.414

Step 3

Show the following numbers on the number line below: $\sqrt{a}$

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Answer

a=2=21/41.189\sqrt{a} = \sqrt{\sqrt{2}} = 2^{1/4} \approx 1.189

Step 4

Show the following numbers on the number line below: $a^2$

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120 rated

Answer

a2=2a^2 = 2

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