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Express in simplest radical form.

Square root of 160


Sagot :

Answer:

4 [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Simplify

[tex]\sqrt{160}[/tex]

We can rewrite this as

[tex]\sqrt{16 * 10}[/tex]

Breaking this up

[tex]\sqrt{16} \sqrt{10}[/tex]

We know the square root of 16 is 4

4 [tex]\sqrt{10}[/tex]

sqrt(10) cannot be simplified so

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

160 = 16 * 10

[tex]\sqrt{160} = \sqrt{16 \cdot 10} = \sqrt{16} \cdot \sqrt{10} = 4\sqrt{10}[/tex]

we cannot simplify further as 10 is 2*5, there are no more squares to simplify.