(4 + 4sqrt3) / (2sqrt2 + sqrt3) คืออะไร

ตอบ:

# (2 sqrt 2 + 2 sqrt 6-sqrt 3-3) / (1 1/4) #

คำอธิบาย:

# (4 + 4 sqrt 3) / (2 sqrt 2 + sqrt 3) #

#:. = (ยกเลิก 4 ^ 2 (1 + sqrt 3)) / (ยกเลิก 2 ^ 1 (sqrt 2 + 1/2 sqrt 3)) #

#:. = (2 (1 + sqrt 3)) / (sqrt 2 + 1/2 sqrt 3) xx (sqrt 2-1 / 2 sqrt3) / (sqrt 2-1 / 2 sqrt3) #

#:. = (2 sqrt 2 + 2 sqrt 2 sqrt 3-sqrt 3-3) / (1 1/4) #

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ตรวจสอบ: -

# (4 + 4 sqrt 3) / (2 sqrt 2 + sqrt 3) #

#:.=10.92820323/4.560477932=2.396284642#

#:. = (2 sqrt 2 + 2 sqrt 2 sqrt 3-sqrt 3-3) / (1 1/4) #

#:.=2.995355803/1.25=2.396284642#