By what least number should 2450 be multiplie | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To find the least number by which $2450$ should be multiplied to make it a perfect square,we first find its prime factorization.$2450 = 2 	imes 1

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(D) To find the least number by which $2450$ should be multiplied to make it a perfect square,we first find its prime factorization.$2450 = 2 	imes 1225$$2450 = 2 	imes 5 	imes 245$$2450 = 2 	imes 5 	imes 5 	imes 49$$2450 = 2 	imes 5^2 	imes 7^2$In the prime factorization,the prime factors $5$ and $7$ appear in pairs ($5^2$ and $7^2$),but the prime factor $2$ does not have a pair.To make $2450$ a perfect square,we must multiply it by $2$ so that all prime factors appear in pairs.Therefore,the required least number is $2$.

By what least number should $2450$ be multiplied so that the resulting number is a perfect square?

Similar Questions

The value of $\sqrt{\frac{(0.03)^{2}+(0.21)^{2}+(0.065)^{2}}{(0.003)^{2}+(0.021)^{2}+(0.0065)^{2}}}$ is

$(15.01)^{2} \times \sqrt{730} = ?$

Square root of $(272^{2}-128^{2})$ is

If $\sqrt{5} = 2.236$,then the value of $\frac{\sqrt{5}}{2} - \frac{10}{\sqrt{5}} + \sqrt{125}$ is:

The least number by which $14175$ should be divided to make it a perfect square is

Vedclass Test Series

Exam Paper Generator

Online Exam Module