Question
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication,
$25$
$25$
✓
Answer
$(25)^2$
Here, $a = 2, b = 5$
$(25)^2=25 \times 25=625$
$(25)^2=625$
Here, $a = 2, b = 5$
| $\text{a}^2$ | $2\text{ab}$ | $\text{b}^2$ |
| $\ \ (2)^2\\=4\\+{2}\\ \ \ \ \ \overline{6}$ | $2\times2\times5\\=20\\+\ \ 2\\ \ \ \ \ \overline{22}$ | $\ \ \ (5)^2\\=25$ |
$(25)^2=625$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Divide $\Big(\frac{1}{4}\text{x}^2-\frac{1}{2}\text{x}-12\Big)$ by $\Big(\frac{1}{2}\text{x}-4\Big)$
→Divide $-21+71 x-31 x^2-24 x^3$ by $3-8 x$.
→The cost of 15 metres of a cloth is Rs. 981. What length of this cloth can be purchased for Rs. 1308?
The shape of the top surface of a table is trapezium. Its parallel sides are 1m and 1.4m and the perpendicular distance between them is 0.9m. Find its area.
Re-arrange suitably and find the sum in the following:
$\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$
→$\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$
Write the quotient and remainder when we divide:
$\left(2 x^3-5 x^2+8 x-5\right)$ by $\left(2 x^2-3 x+5\right)$
→$\left(2 x^3-5 x^2+8 x-5\right)$ by $\left(2 x^2-3 x+5\right)$
Solve:
$2 a^5-32 a$
→$2 a^5-32 a$
Find the cube root of the following rational numbers:
$\frac{686}{-3456}$
→$\frac{686}{-3456}$
18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?
The volume of a block of gold is $0.5 m^3$. If it is hammered into a sheet to cover an area of 1 hectare, find the thickness of the sheet.
→