Răspuns:
Explicație pas cu pas:
[tex]\sqrt{x^{2} }[/tex]=IxI IxI = x daca x≥0
a) √6²=I6I=6
b) √(-5)²=√25=√5²=I5I=5
c) √3⁸=√(3⁴) ²=I3⁴I=3⁴=3x3x3x3=9x9=81
d) √72 =√9x8=√3²x2³=I3I√2²x2=3xI2I√2=3x2√2=6√2
e) √81 =√9x9=√9²=I9I=9
f) √3⁵=√3²x3³=I3I√3³=3√3²x3=3xI3I√3=3x3√3=9√3
g)√7³x3²x2⁷=I3I√7²x7x2²x2²x2²x2=3xI7IxI2IxI2IxI2I√7x2=3x2x2x2x√14=24√14
h)√(-7)⁴ =√49²=I49I=49
i) √9800 =√100x98=√10²x49x2=√10²x7²x2=I10IxI7I√2=10x7√2=70√2
j) √10 125 =√25x81x5=√5²x9²x5=I5IxI9I√5=5x9√5=45√5
k) √6 300 =√100x63=√100x9x7=√10²x3²x7=I10IxI3I√7=10x3√7=30√7
l) √3 150=√25x9x7x2=√5²x3²x14=I5IxI3I√14=5x3√14=15√14