- Rational Numbers
- Linear Equations in One Variable
- Understanding Quadrilaterals
- Practical Geometry
- Data Handling
- Squares and Square Roots
- Cubes and Cube Roots
- Comparing Quantities
- Algebraic Expressions and Identities
- Visualising Solid Shapes
- Mensuration
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs
- Playing with Numbers
NCERT Solutions Class 8 Mathematics Solutions for Exercise 6.3 in Chapter 6 - Squares and Square Roots
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2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
Let the number of rows be, x.
∴ the number of plants in each rows = x.
Total many contributed by all the students = x×x = x^{2}
\begin{aligned} &\text { Given, }\\ &x^{2}=\operatorname{Rs} .2025 \end{aligned}
\begin{array}{l} x^{2}=3 \times 3 \times 3 \times 3 \times 5 \times 5 \\ \Rightarrow x^{2}=(3 \times 3) \times(3 \times 3) \times(5 \times 5) \end{array}
\begin{array}{l} \Rightarrow x^{2}=(3 \times 3 \times 5) \times(3 \times 3 \times 5) \\ \Rightarrow \mathrm{x}^{2}=45 \times 45 \\ \Rightarrow \mathrm{x}=\sqrt{45 \times 45} \end{array}
⇒ x = 45
∴ The number of rows = 45 and the number of plants in each rows = 45.
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