Wortels

Wortels

by mathemagicians vrae -
Number of replies: 2

As x en y rasionale getalle is en square root of x plus square root of y equals square root of 7 plus square root of 48 end root, bepaal 'n moontlike waarde vir x+y.


Hoe kanseleer die 2 wortel xy die wortel 48 uit?

(Edited by Marna Zuhlsdorff - original submission Wednesday, 29 January 2020, 10:01 AM)

In reply to mathemagicians vrae

Re: Wortels

by Marna Zuhlsdorff -
Dankie vir jou vraag!
Sjoe hierdie een is nogals complicated!
Daar is net een STAP wat ek by hierdie memo sou bysit...

table row cell square root of x plus square root of y equals square root of 7 plus square root of 48 end root end cell blank blank row cell open parentheses square root of x plus square root of y close parentheses squared equals open parentheses square root of 7 plus square root of 48 end root close parentheses squared end cell blank blank row cell x plus 2 square root of x square root of y plus y equals 7 plus square root of 48 end cell blank blank row cell x plus 2 square root of x y end root plus y equals 7 plus square root of 48 end cell blank blank row cell x plus y plus 2 square root of x y end root equals 7 plus square root of 48 end cell blank cell Al space wat space oorbly space om space te space doen space is space om space square root of 48 space anders space te space skryf.. end cell row cell x plus y plus 2 square root of x y end root equals 7 plus 2 square root of 3 times 4 end root end cell blank cell 2 square root of 3 times 4 space end root lyk space soos space 2 square root of x y end root end cell row blank blank blank row cell So space gestel space 2 square root of 3 times 4 end root equals 2 square root of x y end root end cell blank blank row cell d a n space i s space x equals 3 space e n space y equals 4 end cell blank blank row cell en space square root of 48 equals 2 square root of x y end root end cell blank blank row blank blank blank row cell x plus y plus up diagonal strike 2 square root of x y end root end strike equals 7 plus up diagonal strike 2 square root of 3 times 4 end root end strike end cell blank blank row cell therefore x plus y equals 7 end cell blank blank end table      table row cell square root of 48 equals square root of 4 times 12 end root end cell row cell equals square root of 4 times square root of 12 end cell row cell equals 2 square root of 12 end cell row cell equals 2 square root of 3 times 4 end root end cell end table

So die 2 square root of x y end root kanselleer uit met die square root of 48, want 2 square root of x y end root equals square root of 48 EN dit bevredig ook dat x plus y equals 7