1575 nbsp- - nbsp- nbsp-is a perfect square-4567

The correct option is D 7Prime factorization of 1575: [ 5 amp; 1575; 5 amp; 315; 3 amp; 63; 3 amp; 21; nbsp; ...

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Standard VII

Mathematics

Square Root by Prime Factorisation Method

1575 nbsp; ...

Question

1575 $\times$ is a perfect square.

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Solution

The correct option is D 7
Prime factorization of 1575:

$\begin{matrix} 5 & 1575 5 & 315 3 & 63 3 & 21 7 \end{matrix}$

$1575 = 5 \times 5 - ---- - \times 3 \times 3 - ---- - \times 7 - I n p a i r I n p a i r N o t i n p a i r$

So, in order to make it a perfect square, we need to multiply 1575 with 7.

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Similar questions

By what numbers should each of the following be divided to get a perfect square in each case? Also find the number whose square is the new number?
(i) 16562 (ii) 3698
(iii) 5103 (iv) 3174
(v) 1575

Q. By what least number should the given number be divided to get a perfect square number? In each case, find the number whose square is the new number.
(i) 1575
(ii) 9075
(iii) 4851
(iv) 3380
(v) 4500
(vi) 7776
(vii) 8820
(viii) 4056

Q. Write (T) for true and (F) for false foe each of the statements given below:
(i) The number of digits in a perfect square is even.
(ii) The square of a prime number is prime.
(iii) The sum of two perfect square is a perfect square.
(iv) The difference of two perfect squares is a perfect square.
(v) The product of two perfect squares in a perfect square.

Q. 1575

\times

is a perfect square.

Q. 1575

\times

is a perfect square.

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1575 × is a perfect square.

The correct option is D 7Prime factorization of 1575: 5157553153633217 1575=5×5––––––×3×3––––––×7– In pair In pair Not in pair So, in order to make it a perfect square, we need to multiply 1575 with 7.

1575 $\times$ is a perfect square.