Question

wat is the value of √162+√108/√72+√48​

Answer 1

Answer:

The value of ( √162 + √108 ) / ( √72 + √48 ) = 3 / 2.

Step-by-step explanation:

√162 = √( 2 × 3 × 3 × 3 × 3 ) = 9√2

√108 = √( 2 × 2 × 3 × 3 × 3) = 6√3

√72 = √(2 × 2 × 2 × 3 × 3) = 6√2

√48 = √(2 × 2 × 2 × 3 × 2 ) = 4√3

∴   ( √162 + √108 ) / ( √72 + √48 )

= ( 9√2 + 6√3 ) / ( 6√2 + 4√3 )

= 3 ( 3√2 + 2√3 ) / 2 ( 3√2 + 2√3 )

= 3 / 2.