Question

Write the number as a square. 1c) 5 19/25

Answer 1

`\left((12)/(5)\right)^2=\left(2(2)/(5)\right)^2`

Explanation:

Given mixed number:

`5 (19)/(25)`

Rewrite the given mixed number as an improper fraction:

`\implies 5 (19)/(25)=(5 * 25+19)/(25)=(125+19)/(25)=(144)/(25)`

Rewrite 144 as 12² and 25 as 5²:

`\implies (144)/(25)=(12^2)/(5^2)`

`\textsf{Apply exponent rule} \quad (a^c)/(b^c)=\left((a)/(b)\right)^c:`

`\implies (12^2)/(5^2)=\left((12)/(5)\right)^2`

Convert 12/5 to a mixed number:

`\implies \left((12)/(5)\right)^2=\left((10+2)/(5)\right)^2=\left((10)/(5)+(2)/(5)\right)^2=\left(2(2)/(5)\right)^2`

Answer 2

• 5 19/25 = (12/5)² or (2 2/5)²

Explanation:

Given

• Number 5 19/25

Write it as a square

• 5 19/25 =
• (5*25 + 19) / 25 =
• 144 / 25 =
• 12² / 5² =
• (12/5)²

or

• (2 2/5)²