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1.06 Simplifying radical expressions

Interactive practice questions

Assuming $m$m is a non-negative number, simplify the expression:$\sqrt{m^4}$m4

Express your answer as a positive exponent.

Easy
< 1min

Simplify $3\sqrt{81}$381.

Easy
< 1min

Consider the expression $\sqrt{19}$19.

Easy
< 1min

Consider the expression $7\sqrt{50}$750.

Easy
< 1min
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Outcomes

A.SSE.2

Use the structure of an expression to identify ways to rewrite it. For example, to factor 3x(x − 5) + 2(x − 5), students should recognize that the "x − 5" is common to both expressions being added, so it simplifies to (3x + 2)(x − 5); or see x^4 − y^4 as (x2)^2 − (y2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 − y^2)(x^2 + y^2).

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