Question

By what number should 40 be multiplied to make it a perfect square?

Answer 1

Step-by-step explanation:

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8th

Maths

Squares and Square Roots

Introduction to Square numbers

By what number should each ...

MATHS

By what number should each of the following number be multiplied to get a perfect square in each case? Also, find the number whose square in the new number.

7776

MEDIUM

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ANSWER

We are going to find prime factors of 7776

7776=2×3888

=2×2×1944

=2×2×2×972

=2×2×2×2×486

=2×2×2×2×2×243

=2×2×2×2×2×3×81

=2×2×2×2×2×3×3×27

=2×2×2×2×2×3×3×3×3×3

Now, we are going to make a group of equal number.

=(2×2)×(2×2)×2×(3×3)×(3×3)×3

By observation, 2 and 3 prime factor left out.

So, multiply by 6 we get,

7776×6 =(2×2)×(2×2)×(2×2)×(3×3)×(3×3)×(3×3)

46656=(2×2×2×3×3×3)×(2×2×2×3×3×3)

=(216)×(216)

=(216)

2

∴ To make perfect square we have to multiplied 7776 by 6.

Answer 2

Answer:

multiply 40 with 10 which equals to 400 and 400 is a perfect sq. no. its sq. root will be20