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10 grade maths

Find two irrational numbers between 0.7 and 0.77.

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To find two irrational numbers between 0.7 and 0.77, we can use the concept of square roots, as many square roots are irrational.

Identifying Irrational Numbers

Here are two examples of irrational numbers that fit within the specified range:

  • Square Root of 0.5: The value of √0.5 is approximately 0.7071, which lies between 0.7 and 0.77.
  • Square Root of 0.6: The value of √0.6 is about 0.7746, also falling within the range.

Why These Numbers Work

Both √0.5 and √0.6 are irrational because they cannot be expressed as a simple fraction. This makes them suitable examples of irrational numbers between 0.7 and 0.77.

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