Simplify the radical expression by rationalizing the denominator.

Question

2 over square root 42

Answer 1

To simplify, we multiply the numerator and denominator by the square root of 42:

2 / sqrt(42) * sqrt(42) / sqrt(42) = 2sqrt(42)/42

Therefore, the simplified form is 2sqrt(42)/42.

Answer 2

is it the same as square root 84 over 42

Answer 3

To determine if the two expressions are equal, we simplify them:

2sqrt(42)/42 = 2*sqrt(4*7)/42 = 2*2sqrt(7)/42 = 4sqrt(7)/42 = 2sqrt(7)/21

The expression 2sqrt(42)/42 simplifies to 2sqrt(7)/21, not sqrt(84)/42. Therefore, they are not the same.