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Using the given pattern, find the missin...

Using the given pattern, find the missing numbers: `1^2+2^2+2^2=3^2`
`2^2+3^2+6^2=7^2`
`3^2+4^2+12^2=13^2`
`4^2+5^2+()^2=21^2`
`5^2+()^2+30^2=31^2`
`6^2+7^2+()^2=()^2`

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To solve the problem, we need to identify the missing numbers in the given patterns. Let's analyze the patterns step by step. ### Step 1: Analyze the first three patterns 1. **Pattern 1:** \[ 1^2 + 2^2 + 2^2 = 3^2 \] Calculation: ...
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RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
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  2. Observe the following pattern and supply the missing numbers.

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  3. Using the given pattern, find the missing numbers: 1^2+2^2+2^2=3^2 ...

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  4. Using suitable patterns, compute the following : (I)(333^2)/(12321)=...

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  5. The following numbers are not perfect squares. Give reason. (I)1547...

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  6. Show that the following numbers are not perfect squares: (I)9327    ...

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  7. The square of which of the following numbers would be an odd numbers...

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  8. What will be the units digit of the squares of the following numbers...

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  9. Observe the following pattern 1+3=2^2 1+3+5=3^2 1+3+5+7=4^2 and...

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  10. Observe the following pattern 2^2-1^2=2+1 3^2-2^2=3+2 4^2-3^2=4+3 ...

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  11. Which of the following triplets are Pythagorean? (I)(8,\ 15 , 17) ...

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  12. Observe the following pattern (1xx2)+(2xx3)=(2xx3xx4)/3, (1xx2)+(2xx3...

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  13. Observe the following pattern 1=1/2{1xx(1+1)}, 1+2=1/2{2xx(2+1)}, 1...

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  14. Observe the following pattern (i)1^2=1/6[1xx(1+1)xx(2xx1+1)], (ii)1^...

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  15. Which of the following square numbers are squares of even numbers ? ...

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  16. By just examining the units digits, can you tell which of the follow...

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  17. Write five numbers for which you cannot decide whether they are squa...

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  18. Write five numbers which you connot decide whether they are square ...

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  19. Find the square root of the following number by prime factorization....

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  20. Find the squares of the following numbers using column method. (I)25...

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