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# 幾條有理數的問題(快!!)10分

1)√18 is equal to?

2)Which of the following numbers is equal to 4√3?

A.√24 B.√39 C.√48 D.√66

3)Which of the following has the least value?

A.3√5 B.5√2 C.4√3 D.2√6

4)Which of the following is CORRECT?

A.√20=4√5

B.√32=8√2

C.√56=2√14

D.√ 75=3√5

5)Without Using calculators,simplify each of the following numbers.

(i)√27 (ii)√96 (iii)√128 (vi)√180

(v)√50 (vi)√80 (vii)√28

6)Express√147 in the simplest form.

7)a.Express√100 and√200 in the simplest form.

b."if the value of a is half the value of b,then the value of√a is half the value of √b,where a and b are positive integers.",Comment on the above statement.

√√√√√

Update:

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1. √18 = √2x9 = √2x3^2 = 3√2

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mc都要步驟??

2. c 4√3 = √3x4^2 = √48

3. d a.3√5 = √5x3^2 = √45 b. 5√2= √2x5^2 = √50

c.4√3 = √3x4^2 = √48 d. 2√6= √6x2^2 = √24

4. c a.4√5 = √5x4^2 = √80 b.8√2 = √2x8^2 = √128

c.2√14=√14x2^2= √56 d. 3√5 =√5x3^2 = √45

5.(i) √27 = √3x9 = √3x3^2 = 3√3

(ii) √96 = √6x16 = √6x4^2= 4√6

(iii) √128 = √2x64=√2x8^2 = 8√2

(iv)√180 = √5x36 = √5x6^2 = 6√5

(v)√50 =√2x25 = √2x5^2 = 5√2

(vi)√80= √5x16= √5x4^2 = 4√5

(vii)√28 = √7x4 = √7x2^2 = 2√7

6.√147 = √3x49 = √3x7^2 = 7√3

7a.√100 = √ 10^2 = 10

√200 = √2x 10^2 = 10√2

b.The statement is wrong.

due to the answer in (a):

100 is half of 200

but √100 is not half of √200 ( 10x2 is not = 10√2)

希望幫到你

Source(s): me