Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Simplify √48x^10y^13 to the form a√b

Sagot :

Question:

Solution:

Consider the following expression:

[tex]\sqrt{48x^{10}y^{13}}[/tex]

Applying the properties of radicals, we get:

[tex]\sqrt{48}\sqrt{x^{10}}\text{ }\sqrt{y^{13}}[/tex]

now, this is equivalent to:

[tex]4\sqrt{3}\sqrt{x^{10}}\text{ }\sqrt{y^{13}}[/tex]

this is equivalent to:

[tex]4\sqrt{3}\text{ x}^5y^6\sqrt{y}[/tex]

this is equivalent to:

[tex]4\text{x}^5y^6\sqrt{3}\text{ }\sqrt{y}[/tex]

finally, applying the properties of radicals, we get:

[tex]4\text{x}^5y^6\sqrt{3y}\text{ }[/tex]

Answer: we can conclude that the correct answer is:

[tex]a=4x^5y^6[/tex]

and

[tex]b=3y[/tex]

View image EshanS110120
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.