Jordannsharppidn
Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

What is the simplest form of the product?
SqRt 63x^5y^3 • sqRt 14xy8

What Is The Simplest Form Of The Product SqRt 63x5y3 SqRt 14xy8 class=

Sagot :

Lilithidn
[tex] \sqrt{63x^5y^3} \cdot \sqrt{ 14xy^8 }=\\ \\=\sqrt{63x^5y^3\cdot 14xy^8 }=\\ \\\sqrt{882x^{5+1} y^3 y^8 } =\\ \\=\sqrt{441 \cdot 2 \cdot x^6y^3y^8}=\\ \\=\sqrt{441} \cdot \sqrt{y^8}\cdot \sqrt{x^{6} }\cdot \sqrt{2y^3} = \\ \\=21 \cdot( y ^{8 })^\frac{1}{2}\cdot ( x^6)^{\frac{1}{2}}*\sqrt{2y^{3}}\\ \\=21 \cdot x^3 \cdot y^4 \cdot \sqrt{2y^3} [/tex]
[tex]\sqrt{63x^5y^3}\cdot\sqrt{14xy^8}=\sqrt{63x^5y^3\cdot14xy^8}=\sqrt{63\cdot14\cdot x^{5+1}y^{3+8}}\\\\=\sqrt{9\cdot7\cdot7\cdot2\cdot x^6y^{11}}=\sqrt9\cdot\sqrt{7^2}\cdot\sqrt{2}\cdot\sqrt{x^6}\cdot\sqrt{y^{11}}\\\\=3\cdot7\cdot\sqrt2\cdot\sqrt{(x^3)^2}\cdot\sqrt{y^{10}\cdot y}=21\sqrt2\cdot x^3\cdot\sqrt{(y^5)^2}\cdot\sqrt{y}\\\\=21x^3y^5\sqrt{2y}[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.