Question

The value of 1/(√7-2) after rationalizing the denominator is *​

Answer 1

Step-by-step explanation:

We need to multiply the numerator and denominator of 1/(√7 - 2) by √7 + 2,

1/(√7 - 2) x (√7 + 2)/(√7 + 2) = (√7 + 2)/(√7 - 2)(√7 + 2)

We need to apply the formula (a - b)(a + b) = a2 - b2 in the denominator to get

1/(√7 - 2) = (√7 + 2)/(√7)2 - (2)2

= (√7 + 2)/(7 -4)

=(√7+2)/3