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Softa [21]
2 years ago
9

Step-by-step to reduce the radical of the square root Of 160

Mathematics
2 answers:
notka56 [123]2 years ago
8 0

Answer:

4\sqrt{10}

Step-by-step explanation:

\sqrt{160}

\sqrt{16 * 10}

4\sqrt{10}

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

lisabon 2012 [21]2 years ago
3 0

Answer:

4\sqrt{10}\\

Step-by-step explanation:

To reduce a radical of a square root, you want to find a perfect square that multiplies into that number. 16 is a perfect square (of 4) and can be divided into 160. so \sqrt{160\\} becomes \sqrt{16} x  \sqrt{10} (because 16 x 10 = 160) then we simplify the square root of 16 to be 4. We leave the square root of 10 because it cannot be simplified.

Hope this helps!

:)

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