Somebody HURRY I NEED HELP

Mathematics

1 answer:

Marianna [84]2 years ago

4 0

Answer:

1/5^3

Step-by-step explanation:

5 ^ -3 = 1 / 5^3 = 1 / 125

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What is the exact of the expressions square root of 180 - square root of 125 + square root of 5

Ivenika [448]

$\bf \sqrt{180}-\sqrt{125}+\sqrt{5}\qquad 
\begin{cases}
180=2\cdot 2\cdot 3\cdot 3\cdot 5\\
\qquad 2^2\cdot 3^2\cdot 5\\
\qquad (2\cdot 3)^2\cdot 5\\
\qquad 6^2\cdot 5\\
125=5\cdot 5\cdot 5\\
\qquad 5^2\cdot 5
\end{cases}
\\\\\\
\sqrt{6^2\cdot 5}-\sqrt{5^2\cdot 5}+\sqrt{5}\implies 6\sqrt{5}-5\sqrt{5}+\sqrt{5}\implies 2\sqrt{5}$