Download App

Squares and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquares and Square Roots2 Marks
Question
Using prime factorization method, find the following numbers are perfect squares? $343$
✓

Answer

$343 = 7 \times 7 \times 7$
$\begin{array}{c|c} 7& 343 \\ \hline 7 & 49 \\\hline 7&7 \\\hline &1 \end{array}$
Grouping them into pairs of equal factors, $343 = (7 \times 7) \times 7$ The last factor, $7$ cannot be paired.
 Hence, $343$ is not a perfect square.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Squares and Square Roots→Squares and Square Roots — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Area of a square plot is $2304$ $m^2$. Find the side of the square plot.
→
Using square root table, find the square root: $25725$
→
Multiply these binomials.
$(2.5l-0.5 m)$ and $(2.5 l+0.5 m)$
→
If Meena gives an interest of $₹ 45$ for one year at $9 \%$ rate $p.a.$. What is the sum she has borrowed?
→
Factorise $\text{x}^2+\frac{1}{\text{x}^2}+2-3\text{x}-\frac{3}{\text{x}}$.
→
Find the following products: $\frac{-13}{15}\times\frac{-25}{26}$
→
Find the selling price when. $CP = Rs. 915$ and gain $\%=6\frac{2}{3}\%$
→
If diagonals of rhombus are of length 6 cm and 5 cm , then find the area of rhombus.
→
Find the gain or loss percent when. CP = Rs. 675 and $SP = Rs. 630$
→
Factorise:
$p^2+6 p+8$
→