Question

if x = root2 + root3 find x2 + 1 by x2​

Answer 1

Step-by-step explanation:

x = 2 + 1 + 2√2

⇒ x = (√2)2 + 12 + 2×√2×1

⇒ x = (√2 + 1)2

∴ x = (√2 + 1)

⇒(1/x) = 1/ (√2 + 1)

Multiply and divide by (√2 − 1)

⇒(1/x) = (√2 − 1) / [(√2 + 1)(√2 − 1)]

⇒(1/x) = (√2 − 1) / [2 − 1]

∴ (1/x) = (√2 − 1)

Consider [x + (1/x)] = [(√2 + 1) + (√2 − 1)]

                              = 2√2

Answer 2

Answer:

just put the required value given in the question and solve further to get the answer

6-2✓6