Question
Find the square root of $400$ by the Prime Factorisation Method.
✓
Answer
$400$
The prime factorisation of $400$ is
$400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5$
By pairing the prime factors, we get
$400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5$
Therefore, $\sqrt {400} = 2 \times 2 \times 5 = 20$
The prime factorisation of $400$ is
$400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5$
By pairing the prime factors, we get
$400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5$
Therefore, $\sqrt {400} = 2 \times 2 \times 5 = 20$
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
Sunita purchases a bicycle for $Rs. 660.$ She has paid a $VAT$ of $10\%.$ Find the list price of bicycle.
→What is the number of diagonals in a: Polygon of $12$ sides?
→Explain, why a rectangle is a convex quadrilateral?
Simplify: $\frac{-16}{35}\div\frac{-15}{14}$
→Using the formula for squaring a binomial, evaluate the following:
$(999)^2$
→$(999)^2$
Subtract: $6x^2- 4xy + 5y^2$ from $8y^2+ 6xy - 3x^2$
→Find the squares of the following numbers: $503$
→Find the following products: $\big(\text{x}+\frac{1}{5}\big)\big(\text{x} + 5)$
→Find following products: $\Big(\frac{2}{3}\text{x}+\frac{4}{5}\text{y}\Big)\Big(\frac{2}{3}\text{x}+\frac{4}{5}\text{y}\Big)$
→Find the square root of: $\frac{324}{841}$
→