Question

3. Find the least number that must be subtracted from the following numbers to make them
square:
(a) 2,07,978 (b) 4,23,886 (c) 4,85,933 (d) 2,78,840
​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{(a)=40,(b)=85,(c)=124,(d)=56}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

>>Least number that is subtracted from given number for the following numbers:

>>1st Question:

$a) \sqrt{207978} = 456.04 \\ so \: after \: substraction \: \\ the \: perfect \: squar \: will \: be \: 456 \\ = )207978 = x + 207938 \\ = )x = 207978 - 207938 \\ = ) x = 40 \\ 40 \: should \: be \: subtracted \: from \: given \: root \\ so \: that \: it \:can \: be \: a \: perfect \: square \: root.$

>>2nd question

$= ) \sqrt{423886} = 651.06 \\ so \: after \: substraction \: \\ the \: perfect \: squar \: will \: be \: 651 \\ = )423886 = x + 423801 \\ = )x = 423886 - 423801 \\ = )x = 85 \\ 85 \: should \: be \: subtracted \: from \: given \: root \\ so \: that \: it \:can \: be \: a \: perfect \: square \: root.$

>>3rd Question

$\sqrt{485933} = 697.08 \\ so \: after \: substraction \: \\ the \: perfect \: squar \: will \: be \: 697 \\ = )485933 = 4857809 + x \\ = )x = 485933 - 4857809 \\ = )x = 124 \\ 124 \: should \: be \: subtracted \: from \: given \: root \\ so \: that \: it \:can \: be \: a \: perfect \: square \: root.$

>>4th Question:

$\sqrt{278840} = 528.05 \\ so \: after \: substraction \: \\ the \: perfect \: squar \: will \: be \: 528 \\ = )278840 =278784 + x \\ = )x = 278840 - 278784 \\ = )x = 56 \\ 56\: should \: be \: subtracted \: from \: given \: root \\ so \: that \: it \:can \: be \: a \: perfect \: square \: root.$

$\huge{\boxed{\boxed{\sf{(a)=40,(b)=85,(c)=124,(d)=56}}}}$

Answer 2

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