Simplify the following: (I)√45-3√20+4√5 (II) (√5+√2)² (III) (√3-√2)²
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Step-by-step explanation:
1) √45-3√20+4√5
√(9*5)-3√(5*4)+4√5
3√5-6√5+4√5
7√5-6√5
=√5
2)(√5+√2)^2
(√5)^2+2√5*√2+(√2)^2
=5+2√10+2
=7+2√10
3) (√3-√2)^2
(√3)^2-2√3*√2+(√2)^2
3-2√6+2
=5-2√6
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