Question

√48 vs √(4√3))

a) √48 is greater
b) √(4√3) is greater
c) Both are equal
d) Cannot be determined

Answer 1

To compare √48 and √(4√3), simplify each expression and compare them. The simplified expression of √48 is 4√3, and the simplified expression of √(4√3) is 2√3. Therefore, √(4√3) is greater.

Step-by-step explanation:

To compare √48 and √(4√3), we first simplify each expression.

√48 = √(16 · 3) = 4√3

√(4√3) = 2√(√3) = 2√3

Comparing the simplified expressions, we can see that 4√3 is greater than 2√3. Therefore, the correct answer is b) √(4√3) is greater.