Question

Find the square root of the following decimal numbers.

1. 2.56
2. 7.29
3. 51.84
4. 42.25
5. 31.36

Answer 1

(i) The square root of $2.56$ can be calculated as follows.

| 1.6
---|---
1| $\bar2.\bar5\bar6$
$-1$
26| 156
156
| 0

∴ $\sqrt{2.56} = 1.6$

---

(ii) The square root of $7.29$ can be calculated as follows.

| 2.7
---|---
2| $\bar7.\bar2\bar9$
$-4$
47| 329
329
| 0

∴ $\sqrt{7.29} = 2.7$

---

(iii) The square root of $51.84$ can be calculated as follows.

| 7.2
---|---
7| $\bar5\bar1.\bar8\bar4$
$-49$
142| 284
284
| 0

$\therefore\sqrt{51.84}=7.2$

---

(iv) The square root of $42.25$ can be calculated as follows.

| 6.5
---|---
6| $\bar4\bar2.\bar2\bar5$
$-36$
125| 625
625
| 0

$\therefore\sqrt{42.25}=6.5$

---

(v) The square root of $31.36$ can be calculated as follows.

| 5.6
---|---
5| $\bar3\bar1.\bar3\bar6$
$-25$
106| 636
636
| 0

$\therefore\sqrt{31.36}=5.6$