Answer: The value of square root of 75 is 8.65.
Step-by-step explanation:
Since we have given that
[tex]\sqrt{75}=3\sqrt{25}=3\times 5=15[/tex]
a) Explain why her reasoning is incorrect.
Her reasoning is incorrect.
As we can write it as :
[tex]\sqrt{75}=\sqrt{3\times 25}=\sqrt{3}\times \sqrt{25}=5\sqrt{3}[/tex]
(b) Estimate the square root of 75 to the nearest thousandths without using your calculator. Show
As we know that
[tex]\sqrt{3}=1.73[/tex]
So, the square root of 75 would be :
[tex]75=5\sqrt{3}=5\times 1.73=8.65[/tex]
Hence, the value of square root of 75 is 8.65.
