Toán Lớp 8: rút gọn a, √(√2-1)^2 b, √(√2-5)^2 c, √(3-√5)^2 d, √(2+√3)^2 + √(2-√3)^2 mình cần gấp

Question

Toán Lớp 8:  rút gọn a,  √(√2-1)^2 b,  √(√2-5)^2 c,   √(3-√5)^2 d,   √(2+√3)^2 + √(2-√3)^2 mình cần gấp

minhtuquynh · Answer

a. $ sqrt{( sqrt 2 -1)^2}   = Big| Big.  sqrt 2-1 Big| Big.   =  sqrt 2-1 $ (v&igrave; $ sqrt2 > 1$)   b. $ sqrt{( sqrt 2 -5)^2}   = Big| Big.  sqrt 2-5 Big| Big.   = 5- sqrt 2 $ (v&igrave; $5> sqrt2 $)   c. $ sqrt{(3- sqrt 5 )^2}   = Big| Big. 3- sqrt 5 Big| Big.   = 3- sqrt 5 $ (v&igrave; $3> sqrt 5 $)   d. $ sqrt{(2+ sqrt 3 )^2}+ sqrt{(2- sqrt 3 )^2}   = Big| Big. 2+ sqrt 3 Big| Big.+ Big| Big. 2- sqrt 3 Big| Big.   =2+ sqrt 3+ 2- sqrt 3 = 4 $ (v&igrave; $2> sqrt 3 $)

thaolanphuobg · Answer

a)  sqrt{( sqrt{2}-1)^2}   =| sqrt{2}-1|   = sqrt{2}-1   b)  sqrt{( sqrt{2}-5)^2}   =| sqrt{2}-5|   =5- sqrt{2}   c)  sqrt{(3- sqrt{5})^2}   =|3- sqrt{5}|   =3- sqrt{5}   d)  sqrt{(2+ sqrt{3})^2}+ sqrt{(2- sqrt{3})^2}   =|2+ sqrt{3}|+|2- sqrt{3}|   =2+ sqrt{3}+2- sqrt{3}   =4