Anonymous
Anonymous asked in 教育及參考書小學及中學教育 · 1 decade ago

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:

最好有埋步驟!!thanks!!

1 Answer

Rating
  • 1 decade ago
    Favorite Answer

    1. √18 = √2x9 = √2x3^2 = 3√2

    -----------------------------------------------------------------------------------------

    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
Still have questions? Get your answers by asking now.