Question

7. Find the difference between 777 and its nearest perfect square number.
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Answer 1

Answer:

YOUR ANSWER IS = 7

Step-by-step explanation:

28²= 784>777

REQUIRED DIFFERENCE 784-777= 7

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Answer 2

The difference between 777 and its nearest perfect square number is 7

Given :

The number 777

To find :

The difference between 777 and its nearest perfect square number

Solution :

Step 1 of 2 :

Calculate the square root of 777

$\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:27.87\:\:}}}\\ {\underline{\sf{2}}}& {\sf{777}} \\{\sf{}}& \underline{\sf{\: \: \: \: 4\:\: \: \: \: \: \: \: }} \\ {\underline{\sf{47}}}& {\sf{\: \: \: \: \: 377\: \: \: \: \: }} \\{\sf{}}&\underline{\sf{ \: \: \: 329\: \: \: }} \\ {\underline{\sf{548}}}&{\sf{\:\: \: \: \: \: \: \: 4800 \:\:}} \\{\sf{}}&\underline{\sf{\:\: \: \: \: \: \:4384\:}} \\ {\underline{\sf{5567}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: 41600}} \\{\sf{}}&\underline{\sf{\: \: \: \: \: \: \: \: \: \: \: \: 38969}} \\ {\underline{\sf{}}}&{\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2631\:\:}}{\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered}$

Thus we get ,

$\displaystyle \sf \sqrt{777} \approx \: 27.87$

Step 2 of 2 :

Calculate the difference between 777 and its nearest perfect square number

Since square root of 777 is 27.87

So the nearest perfect square number to 777

= 28²

= 784

Hence the difference between 777 and its nearest perfect square number

= 784 - 777

= 7

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