Question

pls solve this by long division method
I will mark you as brainliest​

Answer 1

Answer:

Hey friend here's your answer.

Step-by-step explanation:

You can verify the answer if you want

I hope this will help you.

Answer 2

Question :-

Evaluate the following ;

1. √576

2. √7056

3. √10404

Answer :-

Given :-

• 1. √576

• 2. √7056

• 3. √10404

Required to find :-

• Squares of the given numbers ?

Solution :-

Here we are given with some numbers with square roots .

we need to find the square of the given number . So, in order to find their squares we need to perform long division for them respectively .

Before solving this question let's learn why we use long division method in brief .

From the ago , itself the great mathematics told that any number can be expressed in terms of the product of prime numbers .

This method is therefore named as prime factoristation method .

Using this method we can find the square root of given numbers .

But using this method to find the square root of a large number makes our work complicated .

So,

That is why the mathematics devised this long division method.

Now,

Let's solve this question ;

1.

√576 =

$\huge{\begin{array}{ c | c }& 24 \\ \cline{1 - 2} 2 & 5 \: 76 \\&4 \: \: \: \: \: \\ \cline{1 - 2}44 &176 \\& 176 \\ \cline{1 - 2}&0\end{array}}$

Here,

24 is the quotient ;

This implies ,

√576 = 24

2.

√7056 =

$\huge{\begin{array}{c|c} & 84 \\ \cline{1-2} 8 & 7056 \\& 64 \: \: \: \: \: \\ \cline{1 - 2}164& 656 \\& 656 \\ \cline{1 - 2} & 0\end{array}}$

Here,

Quotient = 84

This implies ,

√7056 = 84

3.

√10404 =

$\huge{\begin{array}{c|c} & 102 \\ \cline{1-2} 10 & 10404 \\ & 100 \: \: \: \: \: \\ \cline{1 - 2}202& \: \: \: \: 404 \\ & \: \: \: \: 404 \\ \cline{1 - 2}&0\end{array}}$

Quotient = 102

This implies ,

√10404 = 102

>> Therefore,

√576 = 24

√7056 = 84

√10404 = 102