root 29 multiplied by root 29
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Answer:
How to Find the Square Root of 29?
We can find the square root of 29 using the following steps:
Step 1: Check whether the number is a perfect square or not. In this case, 29 is not a perfect square as it cannot be broken down into a product of two same numbers.
Step 2: Once the number is checked, the following process needs to be followed:
If the number is a perfect square, it can be written as √x2 = x
If it is not a perfect square, the square root is found using the long division method. It can also be written in its simplified radical form.
Since 29 is not a perfect square, we find its square root using the long division method. The simplified radical form of the square root of 29 is given below.
Simplified radical form of the square root of 29
29 can be written as a product 1 and 29.
√29 = √(1 × 29)
29 is not a perfect square, hence, it remains within roots. The simplified radical form of the square root of 29 is √29.
Square Root of 29 By Long Division
Let us understand the process of finding the square root of 29 by long division.
Step 1: Pair the digits of the number starting from the right end, by placing a bar over them.
Step 2: Now, we find a number such that its square gives a product that is less than or equal to this pair. The square of 5 is 25, which is less than 29. On subtracting 25 from 29, we get 4.
Step 3: Now, we double the quotient and place it as the next divisor with a blank on its right. The double of 5 gives 10 and a blank is placed next to it. This blank needs to be filled by a number which will also become the next digit in the quotient. It should be filled with the largest possible digit, such that when the new divisor is multiplied with the new quotient, the product is less than or equal to the dividend.
Step 4: Repeating the above steps, the quotient 53 is doubled, which gives 106, and a pair of 0s is added to the dividend.
Step 5: The same steps are repeated and the digit which is written in the blank is 8. The product of 1068 and 8 gives 8544. After subtracting 8544 from 9100, we get 556 with a new pair of 0s.Finally, the square root of 29 is calculated to be 5.
Step-by-step explanation:
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