Find the reciprocal of 0.342 hence evaluate √0.0625/0.342
0.342 = 342 / 1 000 =
2 * 171 / 2 * 500 = 171 / 500
1 / 0.342 = 500 / 171
√0.0625 = √( 625 / 10 000 ) =
√625 / √10 000 =
25 / 100 = 25 / 25 * 4 = 1 / 4
√0.0625 / 0.342 =
√0.0625 * 1 / 0.342 =
1 / 4 * 500 / 171 =
1 * 500 / 4 * 171 =
500 / 4 * 171 =
4 * 125 / 4 * 171 = 125 / 171
√0.0625 / 0.342 = 125 / 171
To find the reciprocal of a number, you divide 1 by that number. So, to find the reciprocal of 0.342:
Reciprocal of 0.342 = 1/0.342
To evaluate √0.0625/0.342, we need to simplify the expression first. Let's calculate the reciprocal of 0.342:
Reciprocal of 0.342 = 1/0.342 = 2.923977
Now let's evaluate √0.0625/0.342:
Step 1: Simplify the expression √0.0625/0.342
Step 2: √0.0625 = 0.25 since the square root of 0.0625 is 0.25
Step 3: Plugging in the values, we get:
0.25/0.342 = 0.73
So, √0.0625/0.342 evaluates to 0.73.
What does the *stand for?????
To find the reciprocal of a number, you simply flip the number upside down. For 0.342, the reciprocal would be 1/0.342.
To evaluate the expression √0.0625/0.342, we can simplify the expression step-by-step:
Step 1: Simplify the numerator:
√0.0625 = √(1/16) = 1/4
Step 2: Simplify the expression:
(1/4) / 0.342 = (1/4) * (1/0.342) = (1/4) * (2.924) = 0.231
Therefore, √0.0625/0.342 simplifies to 0.231.