Question - Understanding Number Range Around Square Roots
Solution:
The question in the image seems to be asking to fill in the blanks with numbers that are less than and greater than the square root of 34, respectively.Let's find two perfect squares that are close to 34 to help us find the square root range of 34:Taking perfect squares near 34:- $$5^2 = 25$$- $$6^2 = 36$$Since 25 is less than 34, and 36 is greater than 34, the square root of 34 will be between 5 and 6.Therefore, a number less than square root of 34 would be 5 (or any number between 5 and $$\sqrt{34}$$ that's not an integer), and a number greater than square root of 34 would be 6 (or any number between $$\sqrt{34}$$ and 6 that's not an integer).So, the blanks should be filled with:5 < $$\sqrt{34}$$ < 6
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