which is the best estimate for $\\sqrt{45}$?\n7.5\n5.2\n6.7\n6.3

which is the best estimate for $\\sqrt{45}$?\n7.5\n5.2\n6.7\n6.3

which is the best estimate for $\\sqrt{45}$?\n7.5\n5.2\n6.7\n6.3

Answer

Explanation:

Step1: Square each option

(7.5^2 = 56.25)
(5.2^2 = 27.04)
(6.7^2 = 44.89)
(6.3^2 = 39.69)

Step2: Compare with 45

We want to find which square is closest to 45.

(|56.25 - 45|=11.25)
(|27.04 - 45| = 17.96)
(|44.89 - 45|=0.11)
(|39.69 - 45| = 5.31)

Answer:

6.7