CBSE Class 10 Answered
Prove that 6 + ?3 is irrational.
Asked by susrisangita792 | 06 Apr, 2023, 20:35: PM
To prove: 6 + √3 is irrational
Suppose 6 + √3 is a rational number.
![rightwards double arrow 6 plus square root of 3 equals straight p over straight q
rightwards double arrow square root of 3 equals straight p over straight q minus 6
Subtraction space of space two space rational space numbers space is space rational.
rightwards double arrow open parentheses straight p over straight q minus 6 close parentheses space is space rational
rightwards double arrow square root of 3 space is space straight a space rational space number comma space which space is space straight a space contradiction
So comma space our space assumption space is space wrong.
Thus comma space 6 plus square root of 3 space is space an space irrational space number.](https://images.topperlearning.com/topper/tinymce/cache/5d02a791424a7866a6ec8ff2f80898bb.png)
Answered by Renu Varma | 10 Apr, 2023, 10:32: AM
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