Question

if ✓2=1.414 , then ✓(√2-1)/(✓2+1) is equal to​

Answer 1

Answer:

0.414

Step-by-step explanation:

√ { (√2-1) ÷ (√2+1) }

=> √[ { (√2-1)(√2-1) } ÷ { (√2+1)(√2-1) } ]....rationalising

=> √ [ {(√2-1)² ÷ { (√2)² -(1)² }

=> √ [ (√2-1)² ÷ { 2-1} ]

=> √ ( √2-1)²

=> (√2-1)

=> 1.414-1

=> 0.414