一些數學根式問題
2017/07/04 15:48
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標題:
一些數學根式問題
發問:
把下列題目簡化/計算下列根式: 1.√2(3√6+4√5) 2.2√a(3√a+5√b) 3.√3(2+√6)-2(√2-√3) 4.√13√30√390 5.√a3√a5√h2 6.4√3(√53+3√3-2√15) 7.(√2+3√6)(6√a+√b) 8.(5√x-2√y)(3√x+4√y) 請給最簡化/最好的答案
最佳解答:
1.√2(3√6+4√5) =3√12 +4 √10 =6√3+4√10 2.2√a(3√a+5√b) =6a +10√ab 3.√3(2+√6)-2(√2-√3) =2√3 +3√2 - 2√2 +2√3 =4√3 +√2 4.√13√30√390 =√390 * √390 =390 5.√a3√a5√h2 Do you want to ask a^3, where 3 is the index (指方) of the a? Suppose it is considered(考慮) as a^3, a^5, h^2 √a^3√a^5√h^2 =√a^8 * h =a^4 * h 6.4√3(√53+3√3-2√15) =4√159 + 36 -8√45 =4√159 + 36 -24√5 7.(√2+3√6)(6√a+√b) =√2(6√a+√b) + 3√6(6√a+√b) =6√2a +√2b +18√6a + 3√6b =3√2a(2 + 6√3) + √2b( 1+ 3√3b) 8.(5√x-2√y)(3√x+4√y) =5√x(3√x+4√y) - 2√y(3√x+4√y) =15x +20√xy -6√xy -8y =15x +14√xy -8y
其他解答:
一些數學根式問題
發問:
把下列題目簡化/計算下列根式: 1.√2(3√6+4√5) 2.2√a(3√a+5√b) 3.√3(2+√6)-2(√2-√3) 4.√13√30√390 5.√a3√a5√h2 6.4√3(√53+3√3-2√15) 7.(√2+3√6)(6√a+√b) 8.(5√x-2√y)(3√x+4√y) 請給最簡化/最好的答案
最佳解答:
1.√2(3√6+4√5) =3√12 +4 √10 =6√3+4√10 2.2√a(3√a+5√b) =6a +10√ab 3.√3(2+√6)-2(√2-√3) =2√3 +3√2 - 2√2 +2√3 =4√3 +√2 4.√13√30√390 =√390 * √390 =390 5.√a3√a5√h2 Do you want to ask a^3, where 3 is the index (指方) of the a? Suppose it is considered(考慮) as a^3, a^5, h^2 √a^3√a^5√h^2 =√a^8 * h =a^4 * h 6.4√3(√53+3√3-2√15) =4√159 + 36 -8√45 =4√159 + 36 -24√5 7.(√2+3√6)(6√a+√b) =√2(6√a+√b) + 3√6(6√a+√b) =6√2a +√2b +18√6a + 3√6b =3√2a(2 + 6√3) + √2b( 1+ 3√3b) 8.(5√x-2√y)(3√x+4√y) =5√x(3√x+4√y) - 2√y(3√x+4√y) =15x +20√xy -6√xy -8y =15x +14√xy -8y
其他解答:
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