Question

simplify this plzzzxxxx

Answer 1

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Answer 2

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= { ( √32 - √5 )^(1/3) } { ( √32 + √5 )^(1/3) }

Using identity, [ a^m × b^m = ( a × b )^m ]

= { ( √32 - √5 ) ( √32 + √5 ) }^(1/3)

Using identity. [ ( a + b ) ( a - b ) = a² = b² ]

= { ( √32 )² - ( √5 )² }^(1/3)

= ( 32 - 5 )^(1/3)

= ( 27 )^(1/3)

= ( 3³ )^(1/3)

Using identity [ ( a^m )^n = a^(mn ) ]

= ( 3 )^ ( 3 × 1/3 )

= 3^1

= 3.

The required answer is 3.



Hope it helps !