which of the following is rational
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√4 + √9 is the rational number
while √6 + √9 is an irrational number
√4 + √9 =2+3=5
a rational number
√6 + √9=√6+3 or 3+√6
which is an irrational number.( you can search it on Google)
while √6 + √9 is an irrational number
√4 + √9 =2+3=5
a rational number
√6 + √9=√6+3 or 3+√6
which is an irrational number.( you can search it on Google)
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Answered by
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Given:
(i) √6 + √9
(ii) √4 + √9
To find:
which of the above is rational
Solution:
(i) √6 + √9
= √6 + √(3²)
= √6 + 3
as √6 is an irrational number (√6 cannot be expressed in form of p/q), so, √6 + 3 also becomes an irrational number
(ii) √4 + √9
= √(2²) + √(3²)
= 2 + 3
= 5
as 5 is a rational number (5 can be expressed in form of p/q = 5/1), so, √4 + √9 also becomes a rational number.
Therefore (ii) √4 + √9 is a rational number.
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