prove that 7 root 5 is irrational
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7✓5 is irrational because all the root no are irrational
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Hiii friend,
If possible suppose 7✓5 is rational
And it's simplest form be a/b where a and b are Co prime integers and b not equal 0.
7✓5 = A/B
=> ✓5 = A/7B = Integer/(integer) ( integer not equal 0) = Integer/Non - Zero integer
=> ✓5 = RATIONAL which is not possible , ( ✓5 is irrational)
Therefore,
Our SUPPOSITION is wrong
Hence,
7✓5 is irrational Number
HOPE IT WILL HELP YOU....... :-)
If possible suppose 7✓5 is rational
And it's simplest form be a/b where a and b are Co prime integers and b not equal 0.
7✓5 = A/B
=> ✓5 = A/7B = Integer/(integer) ( integer not equal 0) = Integer/Non - Zero integer
=> ✓5 = RATIONAL which is not possible , ( ✓5 is irrational)
Therefore,
Our SUPPOSITION is wrong
Hence,
7✓5 is irrational Number
HOPE IT WILL HELP YOU....... :-)
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