To evaluate this expression, we can first simplify the square roots in the denominators.
√0.625 = √(5/8) = √5 / √8 = (1/2)√5
√164 = √(4 * 41) = √4 * √41 = 2√41
Now, we can substitute these values back into the expression:
10/(1/2)√5 + 4/2√41
Simplifying further:
10 * 2√5 / 1 + 4 / 2√41
20√5 + 4 / 2√41
Now, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator:
(20√5 + 4 / 2√41) * (√41 / √41)
(20√5 + 4)√41 / 2 * 41
(20√5 + 4)√41 / 82
So, the simplified expression is (20√5 + 4)√41 / 82.
Use tableles of squares and reciprocal to evaluate;
10/√0.625+4/√164
1 answer
1 answer