Question

X=2+√5 find the value of x²

Answer 1

Given :-

x = 2 + √5

To find :-

value of x²

Solution :-

x = 2 + √5

x² = (2+√5)²

x² = 2² + 4√5 + (√5)²            Identity -- (a+b)² = a² + 2ab + b²

x² = 4 + 4√5 + 5

x² = 9 + 4√5

Conclusion :-

therefore, the value of x² is 9 + 4√5