Question

If a is equal to under root 2 + 1 then find the value of a minus 1 by a

Answer 1

Answer:answer is 3-√3/3

Step-by-step explanation:if a =√2+1 =√3

then a-1/a

√3 -1/√3

√3/√3 -1/√3

1 -√3/3

3 -√3/3

Answer 2

If a = √2 + 1
Then,
(a - 1)/a = [1 - (1/a)
= [(√2 + 1) - 1]/(√2 + 1)]
= √2/(√2 + 1)

{ now rationalize, by multiplying both Numerator & Denominator by (√2 - 1) }

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

{ it might be looking very long, but just to make you explain in a better way, I wrote each & every step, so be normal, it is very easy }

Thankyou!!!