Respuesta :

[tex]\bf \sqrt{18x^7}\qquad \begin{cases} 18\\ \qquad 2\cdot 3\cdot 3\\ \qquad 2\cdot 3^2\\ x^7\\ \qquad x^{2+2+2+1}\\ \qquad x^2\cdot x^2\cdot x^2\cdot x^1\\ \qquad (x^2)^3x^1\\ \qquad (x^3)^2x^1 \end{cases}\implies \sqrt{2\cdot 3^2\cdot (x^3)^2\cdot x} \\\\\\ 3\cdot x^3\sqrt{2\cdot x}\implies 3x^3\sqrt{2x}[/tex]

The square root of 18x^7 is 3x^3 sqrt(2x).

sqrt(18x^7)

2.3.3

2.3^2

x^7 = x ^2+2+2+1

     = x^2*x^2*x^2*x^1

     = (x^2)^3 x^1

     = (x^3)^2 x^1

sqrt ( 2*3^2* (x^3)^2*x)

3*x^3 sqrt(2*x)

3x^3 sqrt(2x).

What do √ mean?

The √ symbol that is used to denote rectangular root or nth roots. Radical Expression - an intensive expression is an expression containing a square root. Radicand - a number of expressions within the radical symbol.

Square root, in mathematics, is an aspect of quite a number that, when elevated by way of itself, offers a unique range. as an example, both three and –three are rectangular roots of 9. As early because the 2nd-millennium bc, the Babylonians possessed powerful methods for approximating rectangular roots.

Learn more about Square root  here: https://brainly.com/question/3617398

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