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Answer»

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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