Question

Đưa thừa số ra ngoài dấu căn

a) \(\sqrt{25.96}\)

b) \(\sqrt{21.75.14}\)

c) \(y^2.\sqrt{x^6.y^8}\)

d) \(a^3.\sqrt{a^5.\left(a-3\right)^2}\)

e)\(\left(x-6\right).\sqrt{\frac{x}{36-x^2}}\)

 

Answer 1

a) \(\sqrt{25\cdot96}=\sqrt{5^2\cdot2^5\cdot3}=\sqrt{5^2\cdot\left(2^2\right)^2\cdot2\cdot3}\)

\(=20\sqrt{6}\)

b) \(\sqrt{21\cdot75\cdot14}=\sqrt{2\cdot3^2\cdot5^2\cdot7^2}=105\sqrt{2}\)

c) \(y^2\sqrt{x^6\cdot y^8}=\sqrt{x^6\cdot y^4\cdot y^8}=\sqrt{\left(x^3\right)^2\cdot\left(y^6\right)^2}=x^3\cdot y^6\)

Answer 2

hì,giúp bn đc phần a thôi nha!!!

\(a,\sqrt{25.96}=\sqrt{25.16.6}=\sqrt{25}.\sqrt{16}.\sqrt{6}=5.4.\sqrt{6}=20\sqrt{6}\)

=.= hok tốt!!!

Answer 3

d) \(a^3.\sqrt{a^5.\left(a-3\right)^2}=a^3.\sqrt{a^5}.\sqrt{\left(a-3\right)^2}=a^3.\sqrt{a^5}.\left(a-3\right)\)