Math, asked by spruha10deshpande, 1 day ago

find the square root of following decimal numbers by division method 99.99​

Answers

Answered by Gurshaan99
0

Answer:

Square root of 99 definition

The square root of 99 in mathematical form is written with the radical sign like this √99. We call this the square root of 99 in radical form. The square root of 99 is a quantity (q) that when multiplied by itself will equal 99.

√99 = q × q = q2

Is 99 a perfect square?

99 is a perfect square if the square root of 99 equals a whole number. As we have calculated further down on this page, the square root of 99 is not a whole number.

99 is not a perfect square.

Is the square root of 99 rational or irrational?

The square root of 99 is a rational number if 99 is a perfect square. It is an irrational number if it is not a perfect square. Since 99 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 99?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√99 is an irrational number

Can the square root of 99 be simplified?

You can simplify 99 if you can make 99 inside the radical smaller. We call this process "to simplify a surd". The square root of 99 can be simplified.

√99 = 3√11

hopefully it's helpful to u

Step-by-step explanation:

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Answered by Anonymous
0

Question:

Find the square root of 99 by long division method

Answer:

⇒ 9.9

Step-by-step explanation:

-----------------

Set up 99 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

__ __

99 00

------------------

Starting with the first set: the largest perfect square less than or equal to 99 is 81, and the square root of 81 is 9. Therefore, put 9 on top and 81 at the bottom

9

__ __    

99 00

81

-------------------

Calculate 99 minus 81 and put the difference below. Then move down the next set of numbers.

9

__ __    

99 00

81

__ __    

18 00

--------------------

Double the number in green on top: 9 × 2 = 18. Then, use 18 and the bottom number to make this problem:

18? × ? ≤ 1800

9 9

__ __  

99 00

81

__ __    

18 00

∴√99 = 9.9

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