a)
b) (
c)
d)
e)
f)
(√5-√3)(√5+√3)=(√5)²-(√3)²=5-3=2
b)
(√11+2)(√11-2)=(√11)²-2²=11-4=7
(√15-√6)(√5-√2)=√75-√30-√30+√12=5√3+2√3-2√30=7√3-2√30
(√7+4)(4+√7)=(√7+4)²=7+16+8√7=8√7+23
(2√2-1)(2√2+1)=(2√2)²-1²=8-1=7
(√20-√18)(√20+√18)=(√20)²-(√18)²=20-18=2
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a)
(√5-√3)(√5+√3)=(√5)²-(√3)²=5-3=2
b)
(√11+2)(√11-2)=(√11)²-2²=11-4=7
c)
(√15-√6)(√5-√2)=√75-√30-√30+√12=5√3+2√3-2√30=7√3-2√30
d)
(√7+4)(4+√7)=(√7+4)²=7+16+8√7=8√7+23
e)
(2√2-1)(2√2+1)=(2√2)²-1²=8-1=7
f)
(√20-√18)(√20+√18)=(√20)²-(√18)²=20-18=2