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Step-by-step explanation:
1.√7 is an irrational number because it is cannot expressed in p/q form and there is no perfect root for√7
2.√4 is a rational number as √4=2 and can be expressed in p/q form
3.(√2-2)^2=(√2)^2+(2)^2-2(√2)(2)
=2+4-4√2
=6-4√2
since we have root value here it is an irrational number
4.(√2+√3)^2=(√2)^2+(√3)^2+2(√2)(√3)
=2+3+2(√6)
=5+2√6
It is an irrational number
5.(2-√2)(2+√2)=(2)^2-(√2)^2
=4-2
=2
since it is a whole number it is a rational number
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