Question

efectuați calculele :
va rog mult de tot, dau coroană ​

Answer 1

Răspuns:

Explicație pas cu pas:

√(A+√B)=√(A+C)/2+√(A-C)/2

A=7 ; B=24   ⇒C²=A²-B=49-24=25    ⇒C=5

√(7+2√6)=√(7+5)/2+√(7-5)/2=√6+1

√(5-2√6)   A=5   B=24   ⇒C²=25-24=1

√(5-2√6)  =√(5+1)/2-√(5-1)/2=√3-2

√(7-4√3)  =    A=7  B=48    C²=49-48=1

=√(7+1)/2-√(7-1)/2=2-√3

√(11-6√2)  =      A=11   B=72     C²=121-72=49     C=7

=√(11+7)/2-√(11-7)/2=3-√2

a)√6+1+1/(√3-2)-1/(√2-1)-√6+1+2-√3=2+√3+2-√2-1+2-√3=4-√2

b)3-√2+2-√3+1/(√3-2)=3-√2+2-√3+√3+4=9-√2

c)(1-2√3)(2-√3+5√3)=(1-2√3)(2+4√3)=2(1-2√3)(1+2√3)=2(1-3)=-4