Using rational approximations, what statement is true?

Question

A. √49 <7
B. √48 >√36
C. √48 <√36
D. √49 >7

Answer 1

To evaluate the statements using rational approximations:

A. \( \sqrt{49} < 7 \)

• This is false because \( \sqrt{49} = 7 \).

B. \( \sqrt{48} > \sqrt{36} \)

• \( \sqrt{48} \) is approximately \( 6.93 \) and \( \sqrt{36} = 6 \). This is true since \( 6.93 > 6 \).

C. \( \sqrt{48} < \sqrt{36} \)

• This is false, as established in option B.

D. \( \sqrt{49} > 7 \)

• This is false because \( \sqrt{49} = 7 \).

From these evaluations, the true statement is:

B. \( \sqrt{48} > \sqrt{36} \).

Answer 2

what is the answer

Answer 3

The correct answer is:

B. \( \sqrt{48} > \sqrt{36} \).

This statement is true because \( \sqrt{48} \) is approximately \( 6.93 \) and \( \sqrt{36} = 6 \). Thus, \( 6.93 > 6 \).