(7+3√5) (7-3√5) square root
Answers
Answered by
31
Hi ,
____________________________
Here we use the following identity
( a + b )( a - b ) = a^2 - b^2
____________________________
According to the given problem
Sqrt [ ( 7 + 3sqrt5)( 7 - 3sqrt5 ) ]
= Sqrt [( 7 )^2 - ( 3sqrt5 )^2 ]
= Sqrt[ ( 7 × 7) - [( 3× sqrt 5 )(3 ×sqrt5 )]
=Sqrt [ 49 - 45 ]
= Sqrt (4 )
= Sqrt ( 2 × 2 )
= 2
I hope this will useful to you.
******
____________________________
Here we use the following identity
( a + b )( a - b ) = a^2 - b^2
____________________________
According to the given problem
Sqrt [ ( 7 + 3sqrt5)( 7 - 3sqrt5 ) ]
= Sqrt [( 7 )^2 - ( 3sqrt5 )^2 ]
= Sqrt[ ( 7 × 7) - [( 3× sqrt 5 )(3 ×sqrt5 )]
=Sqrt [ 49 - 45 ]
= Sqrt (4 )
= Sqrt ( 2 × 2 )
= 2
I hope this will useful to you.
******
Answered by
1
Step-by-step explanation:
- hope it is helpful pls mark me brainliest n follow me
Attachments:
Similar questions