Question

12², 13², 14², 15², 16², 17², 18², 19², 20², 25²; 11·11, 12·12, 13·13, 14·14, 15·15, 16·16, 12·17, 18·18, 19·19, 20·20; 121, 144, 169, 196, 225, 256, 289, 324, 361, 400; √121, √144, √169, √196, √225, √256, √289, √324, √361, √400, √625

Explanation:

Step1: Correct multiplication terms

Fix handwritten errors (e.g., $22 \times 17$ → $17 \times 17$)

Step2: Calculate square results

For $n^2$, compute $n \times n$:

• $12^2 = 12 \times 12 = 144$
• $13^2 = 13 \times 13 = 169$
• $14^2 = 14 \times 14 = 196$
• $15^2 = 15 \times 15 = 225$
• $16^2 = 16 \times 16 = 256$
• $17^2 = 17 \times 17 = 289$
• $18^2 = 18 \times 18 = 324$
• $19^2 = 19 \times 19 = 361$
• $20^2 = 20 \times 20 = 400$
• $25^2 = 25 \times 25 = 625$

Step3: Compute square roots

For $\sqrt{n^2}$, result is $n$:

• $\sqrt{144}=12$, $\sqrt{169}=13$, $\sqrt{196}=14$, $\sqrt{225}=15$, $\sqrt{256}=16$, $\sqrt{289}=17$, $\sqrt{324}=18$, $\sqrt{361}=19$, $\sqrt{400}=20$, $\sqrt{625}=25$

Step4: Compile corrected table

Organize all values into a consistent table

Answer:

Expression	Multiplication	Square Result	Square Root Result
$13^2$	$13 \times 13$	$169$	$\sqrt{169}=13$
$14^2$	$14 \times 14$	$196$	$\sqrt{196}=14$
$15^2$	$15 \times 15$	$225$	$\sqrt{225}=15$
$16^2$	$16 \times 16$	$256$	$\sqrt{256}=16$
$17^2$	$17 \times 17$	$289$	$\sqrt{289}=17$
$18^2$	$18 \times 18$	$324$	$\sqrt{324}=18$
$19^2$	$19 \times 19$	$361$	$\sqrt{361}=19$
$20^2$	$20 \times 20$	$400$	$\sqrt{400}=20$
$25^2$	$25 \times 25$	$625$	$\sqrt{625}=25$