what square root best approximates the point on the graph?\n0 1 2 3 4 5 6 7 8 9\n√5\n√15\n√28\n√53

Answer:

C. $\sqrt{28}$

Explanation:

Step1: Estimate $\sqrt{5}$

We know that $2^2 = 4$ and $3^2=9$, so $\sqrt{5}\approx 2.24$, which is close to 2.

Step2: Estimate $\sqrt{15}$

Since $3^2 = 9$ and $4^2 = 16$, $\sqrt{15}\approx 3.87$, which is close to 4.

Step3: Estimate $\sqrt{28}$

As $5^2=25$ and $6^2 = 36$, $\sqrt{28}\approx 5.29$, which is close to the point between 5 and 6.

Step4: Estimate $\sqrt{53}$

Because $7^2=49$ and $8^2 = 64$, $\sqrt{53}\approx 7.28$, which is close to 7.