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choixongdong
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality __4__ < √17 < __5__

Answer:

4 < √17 < 5

Step-by-step explanation:

Since, the perfect square integers nearer to 17 are 16 and 25,

That is, we can write,

[tex]16 < 17 < 25[/tex]

Taking square root,

[tex]\sqrt {16} < \sqrt{17} < \sqrt{25}[/tex]

[tex]4 < \sqrt{17} < 5[/tex]

Hence, the integers in the given blanks are 4 and 5 respectively.

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