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8 Without using a calculator, find an irrational number between (a) 4 and 5
9 Without using a calculator, estimate

$8$ Without using a calculator, find an irrational number between (a) $4$ and $5$ $\newline$ $9$ Without using a calculator, estimate

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Write a linear equation from two points

Full solution

Q.

8

Without using a calculator, find an irrational number between (a)

4

and

5

\newline

9

Without using a calculator, estimate

Identify Target Numbers: We know that the square root of $16$ is $4$ and the square root of $25$ is $5$ . So, we need to find a number between $16$ and $25$ whose square root is irrational.
Select Number Between $16$ and $25$ : The number $17$ is between $16$ and $25$ , and its square root cannot be expressed as a fraction, making it irrational.
Determine Irrational Square Root: Therefore, the square root of $17$ , which is written as $\sqrt{17}$ , is an irrational number between $4$ and $5$ .

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\newline

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\newline

\newline

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\newline

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Question

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