实数指数幂及运算1.（三倍根号a）*（四倍根号a）2.（√（a(√a(√a）)3.(三倍根号（（a-b）²）)4.四倍根
1个回答

1.

(3√a)*(4√a)

=3*4(√a)*(√a)

=12a

2.

√[a√(a√a)]

=√{a√[a*a^(1/2)]}

=√{a√[a^(3/2)]}

=√{a*[a^(3/2)]^(1/2)}

=√{a*[a^(3/4)]}

=√{a^(7/4)}

=a^(7/8)

3.

3√[(a-b)^2]

=3[(a-b)^2]^(1/2)

=3|a-b|

4.

4√[(a+b)^2]

=4[(a+b)^2]^(1/2)

=4|a+b|

5.

3√(ab^2+a^2*b)

=3√[ab(b+a)]

=3[ab(b+a)]^(1/2)

=3a^(1/2)*b^(1/2)*(b+a)^(1/2)

6.

4√（（a³+b³）²）

=4|(a³+b³)|

=4(a³+b³)

相关问题