6.9

Let us see what the square root of 67 is.

1. Square Root of 67: √67 = 8.185.
2. Square of 67: 672 = 4,489.

The square root of 47 must be between 6 and 7.

3 Answers By Expert Tutors so Sq root of 43 lies between 6 & 7. Estimate square root of 43 is 6.5.

How to Find the Square Root of 42?

• Find two consecutive perfect squares between which the number 42 lies. The two numbers are 36 (62) and 49 (72).
• Now, for the decimal part we will use the formula:
• So, the estimated square root of 42 by the approximation method is 6.461.

Is the square root of 47 rational or irrational? The square root of 47 is a rational number if 47 is a perfect square. It is an irrational number if it is not a perfect square. Since 47 is not a perfect square, it is an irrational number.

• 4 Answers. #1. +10. One way might be as follows: The nearest square to 47 is 49; and 47 = 49 – 2 or 47 = 49*(1-2/49) Now take the square root of this: [49*(1-2/49)]1/2 = 491/2*(1-2/49)1/2 = 7*(1-2/49)1/2.
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In this method, first find the unit digit of square root from the unit digit of given number using the following table. Discard the last two digits and then check between which two squares the remaining numbers lie. 1) Find the square root of 256. Discard 56, digit remain is 2.

Estimate: Get as close as possible to the number you’re trying to square root by finding two perfect square roots that gives a close number. Divide: Divide your number by one of the square roots you’ve chosen from the previous step. Average: Take the average of step 2 and the root.