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Show that each of the following numbers is a perfect square.Also,find the number whose product is thenew number:-
a)1156
b)4761
please help me in both of the above problems urgently.
thanks
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
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I take it youre not allowed to use a calculator?
Well, one way you can do it with working is to recognize that 35² = 1225 and 70² = 4900. Then
(i) 34² = (35 − 1)² = 35² − 2·35 + 1² = 1225 − 70 + 1 = 1156
(ii) 69² = (70 − 1)² = 70² − 2·70 + 1² = 4900 − 140 + 1 = 4761
Alternatively, if you are not familiar with 35² = 1225, you should know that 30² = 900; then use 34² = (30 + 4)² as above.
Last edited by JaneFairfax (2007-03-15 04:34:11)
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just dont get it.
method used in one book is by taking LCM
can u please do this by that method
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
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Sorry, I missed the second part of the question.
Its not very clearly worded. Could you rephrase the second part of the question?
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Show that each of the following numbers is a perfect square.Also,find the number whose product is thenew number:-
a)1156
b)4761please help me in both of the above problems urgently.
thanks
sorry,
the second part of the question is:-
also,find the number whose square is the given number in each case
please do the first part again in prime factoritazion
or LCM method
please
thank u
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
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I don't see how least common multiple applies here but factorization would help.
1156 = 2 * 2 * 17 * 17 = (2*17) * (2* 17) = (2*17)^2 = 34^2
4761 = 3 * 3 * 23 * 23 = (3*23) * (3*23) = (3*23)^2 = 69^2
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Thank U A Lot..
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
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