Question

What is the value of √507/√48 - √175/√112?

A. 3√3/2
B. 5√3/4
C. 7√3/6
D. 2√3/3
E. √3/2

Answer 1

The value of √507/√48 - √175/√112 is 2.

Step-by-step explanation:

To find the value of √507/√48 - √175/√112, we need to simplify each fraction separately. We begin with the first fraction:

√507/√48 = √(169*3)/√(16*3) = 13√3/4√3 = 13/4

Now, let's simplify the second fraction:

√175/√112 = √(25*7)/√(16*7) = 5√7/4√7 = 5/4

Finally, subtract the two simplified fractions:

13/4 - 5/4 = 8/4 = 2

Therefore, the value of √507/√48 - √175/√112 is 2.