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Answer:
3.5
Step-by-step explanation:
Related Questions
Find the square root of 12.25 using a long division method.
A. 3.2
B. 3.4
C. 3.5
D. 3.1
Answer
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HINT:-A square root of a number is a value that, when multiplied by itself, gives the number. For example: 4×4
= 16. Therefore, 4 is the square root of 16. Using this we can solve the above problem.
Complete step by step answer:
PERFECT SQUARE: A square number or a perfect square is an integer that is obtained by multiplying an integer by itself. For example, 9 is a square number or we can say that 9 is a perfect square because 3×3
is 9.
We will solve this question using the long division method.
3⎞⎠⎟⎟⎟⎟⎟12.25−965⎞⎠325−32500¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3.5
So, as we can observe that the quotient of this division is 3.5.
Therefore, the square root of 12.25 is 3.5.
Hence, the answer of this question is (c).
NOTE:-
Let us now know the properties of Perfect Square numbers.
1. The numbers that are perfect squares end with 1, 4, 5, 6 and 9.
2. The numbers that end with 2, 3, 7 and 8 are not perfect squares.
3. The square of a natural number other than one is either a multiple of 3 or exceeds a multiple of 3 by 1.
4. The square of a natural number other than one is either a multiple of 4 or exceeds a multiple of 4 by 1.
5. The number of zeros at the end of a perfect square is always even.