Question

find the value of (√10-√5)/√2 if √5=2.236 and √10=3.162

Answer 1

(√10-√5)/√2= (3.162-2.236)/1.414
                     = 0.926/1.414
                     =0.6548

Answer 2

The value of [(√10-√5) / √2 ] is 0.6548 .

• In this types of problems , the number of significant digits in the answer is important .

• According to the question,

        given , the value of √10 = 3.162

         and the value of √5 = 2.236

         we know that , the value of √2 = 1.414

• ( √10-√5 ) = 3.162 - 2.236

                          = 0.926

•  [(√10-√5) / √2 ]  = 0.926 / 1.414

                                      = 0.6548