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Assuming
x and
y are both positive, write the following expression in simplest radical form.

7xsqrt(9x^(2)y^(4))
Answer:

Assuming $x$ and $y$ are both positive, write the following expression in simplest radical form. $\newline$ $7 x \sqrt{9 x^{2} y^{4}}$ $\newline$ Answer:

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Simplify radical expressions with variables II

Full solution

Q. Assuming

x

and

y

are both positive, write the following expression in simplest radical form.

\newline

7 x \sqrt{9 x^{2} y^{4}}

\newline

Answer:

Simplify Inside Radical: Simplify the square root of the constant and variables inside the radical. $\newline$ We have the expression $7x\sqrt{9x^2y^4}$ . Let's first focus on the constant and variables inside the radical. $\newline$ The square root of $9$ is $3$ , because $3^2 = 9$ . $\newline$ The square root of $x^2$ is $x$ , because $(x)^2 = x^2$ . $\newline$ The square root of $y^4$ is $y^2$ , because $(y^2)^2 = y^4$ . $\newline$ So, $9$ $0$ .
Multiply by Coefficient: Multiply the simplified radical by the coefficient outside the radical. $\newline$ Now we have $7x \times 3xy^2$ . $\newline$ Multiplying the coefficients ( $7$ and $3$ ) and the variables ( $x$ and $xy^2$ ) gives us $21x^2y^2$ .

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