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Dear friend , √64= +8 not -8 as this is different from x^2 = 64 where x = +8 or -8 .
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Answered by
95
HEY , HERE'S THE ANSWER ⏬
Rational numbers : Rational numbers can be written in the form of p/q , where q is not equal to zero and p and q are co-prime.
According to the question ,
√64/√49 = +-8/+-7 and here , 7 is not equal to zero and 7 and 8 are co prime.
==> √64/√49 is a rational number
==> Option E) is the correct answer.
HOPE IT HELPS YOU !!!
⏺️For more details ⏬
◆ Options other than this contains root numbers . Hence , the numbers can't be rational .
● For example - √5/√25 can be written as √5/+-5. But √5 is irrational .So, irrational / rational is equal to irrational .
● With the same way - √π is irrational .
● Again - √7 is irrational as it is not a perfect square.
HENCE , ALL THE NUMBERS ARE IRRATIONAL EXPECT OPTION (E)
-------------------------------------
Rational numbers : Rational numbers can be written in the form of p/q , where q is not equal to zero and p and q are co-prime.
According to the question ,
√64/√49 = +-8/+-7 and here , 7 is not equal to zero and 7 and 8 are co prime.
==> √64/√49 is a rational number
==> Option E) is the correct answer.
HOPE IT HELPS YOU !!!
⏺️For more details ⏬
◆ Options other than this contains root numbers . Hence , the numbers can't be rational .
● For example - √5/√25 can be written as √5/+-5. But √5 is irrational .So, irrational / rational is equal to irrational .
● With the same way - √π is irrational .
● Again - √7 is irrational as it is not a perfect square.
HENCE , ALL THE NUMBERS ARE IRRATIONAL EXPECT OPTION (E)
-------------------------------------
Answered by
133
Hey there!
In the above, √64/49 is a rational number because,
√64/49 = √( ±8 / ±7 )²= ± (8/7)
Rest others can be proved as irrational by contradiction method.
Correct answer -> E
Hope helped!
======================
For more details :-
1) Proof of √5/25 as irrational number by me :
brainly.in/question/2892087
2) Proof of √7 as irrational number by me : brainly.in/question/2892045
3) Proof of √2 as irrational number : brainly.in/question/2891974
4) Regarding √π , pi itself is a irrational number. Root of irrational number is irrational.
In the above, √64/49 is a rational number because,
√64/49 = √( ±8 / ±7 )²= ± (8/7)
Rest others can be proved as irrational by contradiction method.
Correct answer -> E
Hope helped!
======================
For more details :-
1) Proof of √5/25 as irrational number by me :
brainly.in/question/2892087
2) Proof of √7 as irrational number by me : brainly.in/question/2892045
3) Proof of √2 as irrational number : brainly.in/question/2891974
4) Regarding √π , pi itself is a irrational number. Root of irrational number is irrational.
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