Question

if m= 1+ root 2, then find the value of m power4 - 1/m power4​

Answer 1

Step-by-step explanation:

m=1+√2

m²=(1+√2)² =1+2+2√2 =3+2√2

(m²)²=(3+2√2)² =9+8+12√2

17+12√2=

${m}^{4}$

$17 + 12 \sqrt{2} - \frac{1}{17 +12 \sqrt{2} }$

take LCM and solve it