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5 November, 19:18

Simplify the radical expression square root of 490y^5w^6

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  1. 5 November, 19:31
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    Rewrite this as √ (49·10·y⁴·y· (w³) ²).

    Any squared term under the radical sign can be taken outside, in the form of its square root:

    √a² = a; √ (a²b) = a√b; etc.

    Note that 49, y⁴, and (w³) ² are all squares; their square roots are 7, y², and w³. Take all these outside, leaving the other (irreducible) terms inside:

    So the final answer is 7y²w³√ (10y)
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