Question

using long division method find the square root of 19​

Answer 1

Answer:

Step-by-step explanation:

Square root of 19 definition

The square root of 19 in mathematical form is written with the radical sign like this √19. We call this the square root of 19 in radical form. The square root of 19 is a quantity (q) that when multiplied by itself will equal 19.

√19 = q × q = q2

Is 19 a perfect square?

19 is a perfect square if the square root of 19 equals a whole number. As we have calculated further down on this page, the square root of 19 is not a whole number.

19 is not a perfect square.

Is the square root of 19 rational or irrational?

The square root of 19 is a rational number if 19 is a perfect square. It is an irrational number if it is not a perfect square. Since 19 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 19?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√19 is an irrational number

Can the square root of 19 be simplified?

You can simplify 19 if you can make 19 inside the radical smaller. We call this process "to simplify a surd". The square root of 19 cannot be simplified.

√19 is already in its simplest radical form.

How to calculate the square root of 19 with a calculator

The easiest and most boring way to calculate the square root of 19 is to use your calculator! Simply type in 19 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√19 ≈ 4.35889894

Answer 2

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Step 1: Place a bar over every pair of digits starting from the unit digit. If the number of digits in it is odd, then the left-most single digit too will have a bar.Thus we have, 7 29.So 1st bar is on 29 and 2nd bar is on 7.

Step 2 : Find the largest number whose square is less than or equal to the 1st number,here it is '7'.

(22 < 7< 32). Here the we take 2. Divide and get the remainder (3 in this case).

Step 3: Bring down the number under the next bar (i.e., 29 in this case) to the right of the remainder. So the new dividend is 329.

Step 4 : Add the divisor 2 and quotient 2 that gives us 4.

Step 5 : Think of a largest number in fill in the blank in such a way that the product of a new divisor and this digit is equal to or less than 329(new dividend).

In this case 47 × 7 = 329.

As 47 × 7 = 329 so we choose the new digit as 7. Get the remainder.

Step 6 : Since the remainder is 0 and no digits are left in the given number,

∴√729 = 27.