Question

the number obtained by rationalizing the denominator of 1/7-root2​

Answer 1

Answer:

(7 + √2)/47

Step-by-step explanation:

We have,

1/(7 - √2)

Now, its rationalizing factor will be (7 + √2)

Thus, multiplying it will both numerator and denominator we get,

1 × (7 + √2)/(7 - √2)(7 + √2)

Using (a + b)(a - b) = a² - b²

= (7 + √2)/(7² - (√2)²)

= (7 + √2)/(49 - 2)

= (7 + √2)/47

Thus,

1/(7 - √2) = (7 + √2)/47

Hope it helped and you understood it........All the best