between which two consecutive whole numbers does $sqrt{60}$ lie? fill out the sentence below to justify your…

between which two consecutive whole numbers does $sqrt{60}$ lie? fill out the sentence below to justify your answer and use your mouse to drag $sqrt{60}$ to an approximately correct location on the number line.\nanswer attempt 1 out of 2\nsince $sqrt{square}=square$ and $sqrt{square}=square$ it is known that $sqrt{60}$ is between $square$ and $square$.

between which two consecutive whole numbers does $sqrt{60}$ lie? fill out the sentence below to justify your answer and use your mouse to drag $sqrt{60}$ to an approximately correct location on the number line.\nanswer attempt 1 out of 2\nsince $sqrt{square}=square$ and $sqrt{square}=square$ it is known that $sqrt{60}$ is between $square$ and $square$.

Answer

Explanation:

Step1: Find perfect - squares near 60

We know that $7^2=49$ and $8^2 = 64$.

Step2: Compare square - roots

Since $\sqrt{49}=7$ and $\sqrt{64}=8$, and $49<60<64$, we have $\sqrt{49}<\sqrt{60}<\sqrt{64}$.

Answer:

Since $\sqrt{49}=7$ and $\sqrt{64}=8$, it is known that $\sqrt{60}$ is between 7 and 8.