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Calculate 3 / 3 root sign 6 × root 2
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Simplify: (a-b) divided by (root a-radical b),
: (a-b) divided by (root a-radical b)
=(root a + root b) (root a-radical b) / (root a-root b)
=Radical a + radical B
Simplify a + B divided by radical a + radical B Why can't we multiply A-B by A-B and divide by a + B
I'll take this instead of the radical
Because (√ a + √ b) (√ a - √ b) ≠ a + B, you calculate it is = a-b
Do you remember the formula a? - B? = (a + b) (a-b)? I really don't remember. You can take it and try it
So it should be
The answer to the original question is = (√ a + √ b) (√ a - √ b) (a + b) (√ a - √ b)
=A-B (a + b) (√ a - √ b)
Go ahead and you'll be able to simplify the multiplication on the semicolon
Ah, I'm so tired that I don't know if you understand it or not
M is the integer part of Radix 19, and N is the decimal part of Radix 19. How much is N-M?
Four
Let the integer part of Radix 17 be m, and the fractional part be n, then we can get the value of 3m-2n
4²＜17＜5²
The integer part of √ 17 is 4
That is, M = 4, n = √ 17-4
3m-2n
=3×4-2(√17-4)
=12-2√17+8
=20-2√17
Given that the integral part of √ (21) - 2 is m and the fractional part is n, find 3M + 2n
Four
Given that M is the integer part of root 13 and N is the decimal part of root 13, find the value of m ^ 2-N ^ 2
M is the integer part of root 13 and N is the decimal part of root 13
knowable
M=3
n=√13-3
Then m ^ 2-N ^ 2 = (M + n) (m-n)
=√13(6-√13)
=6√13-13
When m
M0, then n
It is known that the decimal parts of 9 + radical 10 and 9-radical 10 are m and N respectively. Find mn-3m + 4n-7
9+3=9+√9＜9+√10＜9+√16=9+4
m=(9+√10)-12=-3+√10
5=9-4=9-√16＜9-√10＜9-√9=9-3=6
n=(9-√10)-5=4-√10
∴mn-3m+4n-7=(-3+√10)(4-√10)-3×(-3+√10)+4×(4-√10)-7
=-12+3√10+4√10-10+9-3√10+16-4√10-7=-13+9=-4
If the decimal part of 7 Radix 17 and 7 Radix 17 are Mn respectively, find the value of 3M + 2n + 2
7 + Radix 17 decimal part = M = 7 + Radix 17-11 = - 4 + √ 17
7-radical 17 decimal part = n = 7-radical 17-11 = - 4 - √ 17
The value of 3M + 2n + 2
=3*(-4+√17)+2*(-4-√17)+2
=-12+3√17-8-2√17+2
=-22+√17
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