Rationalize the denominator of the following expression 5÷4_√2
To rationalize the denominator of the expression 5 ÷ 4√2, we need to multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of 4√2 is -4√2 (same terms but with opposite sign).
Therefore, the expression becomes:
(5)(-4√2) / (4√2)(-4√2)
= -20√2 / -32
= 20√2 / 32
= 5√2 / 8
So, the rationalized expression is 5√2 / 8.