Rationalise the denominators of the following:
(i) $\frac{1}{7}$
(ii) $\frac{1}{7 - 6}$
(iii) $\frac{1}{5 + 2}$
(iv) $\frac{1}{7 - 2}$

Question

Rationalise the denominators of the following:(i) 7​1​(ii) 7​−6​1​(iii) 5​+2​1​(iv) 7​−21​

Filo · Accepted Answer

(1) 7​1​=7​1​×7​7​​ ( multiplying and dividing by 7​)             =77​​(2) 7​−6​1​=7​−6​1​×7​+6​7​+6​​  (multiplying and dividing by 7​+6​)                       =7−67​+6​​=7​+6​(3) 5​+2​1​=5​+2​1​×5​−2​5​−2​​  (multiplying and dividing by 5​−2​                         =5−25​−2​​=35​−2​​(4) 7​−21​=7​−21​×7​+27​+2​  (multiplying and dividing by 7​+2)                    =7−47​+2​=37​+2​

Question Text	Rationalise the denominators of the following: (i) $\frac{1}{7}$ (ii) $\frac{1}{7 - 6}$ (iii) $\frac{1}{5 + 2}$ (iv) $\frac{1}{7 - 2}$
Answer Type	Text solution:1
Upvotes	150

Rationalise the denominators of the following:
(i) $\frac{1}{7}$
(ii) $\frac{1}{7 - 6}$
(iii) $\frac{1}{5 + 2}$
(iv) $\frac{1}{7 - 2}$

Text solutionVerified

Practice questions from similar books

Rationalise the denominators of the following:(i) 7​1​(ii) 7​−6​1​(iii) 5​+2​1​(iv) 7​−21​

Text solutionVerified

Practice questions from similar books

Rationalise the denominators of the following:
(i) $\frac{1}{7}$
(ii) $\frac{1}{7 - 6}$
(iii) $\frac{1}{5 + 2}$
(iv) $\frac{1}{7 - 2}$