Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

simplify each square root:
1. square root of -25
2. square root of 1.44
3. square root of + or -16/49
4. square root of 361
5. square root of 49
6. square root of + or -0.64
7. square root of -6.25
8. square root of 169/196
9. square root of 25/324


Sagot :

[tex]1.\ \sqrt{-25}-isn't\ real\ number\to\sqrt{-25}=\sqrt{25(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\2.\ \sqrt{1.44}=\sqrt{1.2^2}=1.2\\\\3.\ \sqrt{\frac{16}{49}}=\frac{\sqrt{16}}{\sqrt{49}}=\frac{\sqrt{4^2}}{\sqrt{7^2}}=\frac{4}{7}\\\\\sqrt{-\frac{16}{49}}=\frac{4}{7}i\\\\4.\ \sqrt{361}=\sqrt{19^2}=19\\\\5.\ \sqrt{49}=\sqrt{7^2}=7\\\\6.\ \sqrt{0.64}=\sqrt{0.8^2}=0.8\\\\\sqrt{-0.64}=0.8i[/tex]

[tex]7.\ \sqrt{-6.25}=\sqrt{6.25(-1)}=\sqrt{6.25}\cdot\sqrt{-1}=\sqrt{2.5^2}\cdot\sqty{-1}=2.5i\\\\8.\ \sqrt\frac{169}{196}=\frac{\sqrt{169}}{\sqrt{196}}=\frac{\sqrt{13^2}}{\sqrt{14^2}}=\frac{13}{14}\\\\9.\ \sqrt\frac{25}{324}=\frac{\sqrt{25}}{\sqrt{324}}=\frac{\sqrt{5^2}}{\sqrt{18^2}}=\frac{5}{18}\\====================================[/tex]

[tex]i=\sqrt{-1}\ is\ the\ imaginary\ unit\\---------------------\\If\ a\geq0\ then\ \sqrt{a^2}=a[/tex]