According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
What is square root?
The square root of a number is the value of power 1/2 of that number. In other words, it is the number whose product by itself gives the original number.
Given
[tex]\sqrt{\frac{72}{2} }[/tex]
= [tex]\sqrt{36}[/tex]
= 6
According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex]
[tex]\sqrt{\frac{72}{2} }[/tex] = [tex]\frac{\sqrt{72} }{\sqrt{2} }[/tex]
= [tex]\frac{6\sqrt{2} }{\sqrt{2} }[/tex]
= 6
Thus, according to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
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