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yoona147
@yoona147
September 2021
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altowa1
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а) 5√6-√216+3√24= 5√6-√36*6+3√6*4=5√6-6√6+2√6=√6
б) √10*6√15=6√150= 6√25*6=6*5√6=30√6
в) (3√12+1/2√48) *√3= (3√4*3+1/2√16*3)* √3= (3*2√√3+1/2*4√3)*√3=
= (6√3+2√3)*√3= 4√3*√3=4*3=12
г) (5√108-√147) ÷√3=(5√36*3 - √49*3)÷√3= (5*6√3-7√3)÷√3= (30√3-7√3)÷√3=
= 23√3÷√3=23
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Answers & Comments
а) 5√6-√216+3√24= 5√6-√36*6+3√6*4=5√6-6√6+2√6=√6
б) √10*6√15=6√150= 6√25*6=6*5√6=30√6
в) (3√12+1/2√48) *√3= (3√4*3+1/2√16*3)* √3= (3*2√√3+1/2*4√3)*√3=
= (6√3+2√3)*√3= 4√3*√3=4*3=12
г) (5√108-√147) ÷√3=(5√36*3 - √49*3)÷√3= (5*6√3-7√3)÷√3= (30√3-7√3)÷√3=
= 23√3÷√3=23