7+3*under root 5/3+under root 5 -7-3under root 5/3-under root 5
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Hi ,
(7+3√5)/(3+√5)-[(7-3√5)/(3-√5)]
=[(7+3√5)(3-√5)-(7-3√5)(3+√5)]/[(3+√5)(3-√5)]
=[21-7√5+9√5-15-(21+7√5-9√5-15)]/[3²-(√5)²]
=[6+2√5-(6-2√5)]/(9-5)
= (6 + 2√5 - 6 + 2√5 )/4
= 4√5/4
= √5
I hope this helps you.
: )
(7+3√5)/(3+√5)-[(7-3√5)/(3-√5)]
=[(7+3√5)(3-√5)-(7-3√5)(3+√5)]/[(3+√5)(3-√5)]
=[21-7√5+9√5-15-(21+7√5-9√5-15)]/[3²-(√5)²]
=[6+2√5-(6-2√5)]/(9-5)
= (6 + 2√5 - 6 + 2√5 )/4
= 4√5/4
= √5
I hope this helps you.
: )
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