Find the reciprocal of 0.342. Hence evaluate:(√0.0625/0.342)
1/0.342 = 2.924
√0.0625 = 0.25
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To find the reciprocal of a number, we simply take the reciprocal of the number.
Reciprocal of 0.342 = 1/0.342 = 2.9197 (rounded to four decimal places)
Now, let's evaluate (√0.0625/0.342).
√0.0625 = √(1/16) = 1/√16 = 1/4
Therefore:
(√0.0625/0.342) = (1/4) / (2.9197)
To divide by a fraction, we multiply by its reciprocal. So:
(√0.0625/0.342) = (1/4) * (1/2.9197)
Multiplying the fractions:
(1/4) * (1/2.9197) = 1/11.6788
Therefore, (√0.0625/0.342) = 1/11.6788
To find the reciprocal of a number, we simply divide 1 by that number.
Reciprocal of 0.342 = 1/0.342
To evaluate (√0.0625/0.342), we need to find the square root of 0.0625 and divide it by 0.342. Let's solve it step by step:
1. Find the square root of 0.0625:
√0.0625 = 0.25 (since 0.25 * 0.25 = 0.0625)
2. Divide the square root by 0.342:
0.25 / 0.342 ≈ 0.731
Therefore, (√0.0625/0.342) is approximately equal to 0.731.