Mẹo Is 79380 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?
Mẹo về Is 79380 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square? Chi Tiết
Bùi Nam Khánh đang tìm kiếm từ khóa Is 79380 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square? được Update vào lúc : 2022-10-09 16:26:04 . Với phương châm chia sẻ Bí quyết về trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi Read tài liệu vẫn ko hiểu thì hoàn toàn có thể lại Comments ở cuối bài để Ad lý giải và hướng dẫn lại nha.Solution:
Nội dung chính- Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square NCERT Exemplar Solutions Class 8 Mathematics Solutions for Squares and Square Roots & Cubes and Cube Roots - Exercise in Chapter 3 - Squares and Square Roots & Cubes and Cube Roots Is 2352 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?Is 33075 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?Is 2352 a perfect square if not find the smallest number by which 2352 must be divided so that the product is a perfect square find the square root of new number?IS 176 a perfect square if not find the smallest?
Given, the number is 176.
We have to determine if 176 is a perfect square or not.
Prime factorization is a way of expressing a number as a product of its prime factors.
A prime number is a number that has exactly two factors, 1 and the number itself.
Using prime factorisation,
So, 176 = 2 × 2 × 2 × 2 × 11
We observe that 11 occurs without a pair.
Therefore, 176 is not a perfect square.
We have to determine the smallest number by which 176 should be multiplied to get a perfect square.
176 should be multiplied by 11.
So, 176 × 11 = 1936
Factors of 1936 = 2 × 2 × 2 × 2 × 11 × 11
= √1936
= √(2² × 2² × 11²)
= 2 × 2 × 11
= 44
Therefore, the smallest number to be multiplied is 11.
✦ Try This: Is 396 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 98
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square
Summary:
176 is not a perfect square. The smallest number by which 176 should be multiplied to get a perfect square is 11.
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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Squares and Square Roots & Cubes and Cube Roots - Exercise in Chapter 3 - Squares and Square Roots & Cubes and Cube Roots
Question 98 Squares and Square Roots & Cubes and Cube Roots - Exercise
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
Answer:
First, we have to find out the factors by using the prime factorisation method.
So, prime factors of 176 = 2 × 2 × 2 × 2 × 11
Now, grouping the prime factors = (2 × 2) × (2 × 2) × (11)
= 2^2 × 2^2 × 11
Factor 11 has no pair.
∴176 is not a perfect square.
The smallest number it should be multiplied to get a perfect square is 11.
Then,
176 × 11 = 1936
Factors of 1936 = 2 × 2 × 2 × 2 × 11 × 11
= √1936
= √(2^2 × 2^2 × 112)
= 2 × 2 × 11
= 44
∴ Square root of 1936 is 44.
[embed]https://www.youtube.com/watch?v=paEGThVlD8s[/embed]
Video transcript
hello students welcome to leader q a video session i am sad your math tutor and question for today is is 176 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square so first of all we need to take the factors of 176 by using prime factorization method so 176 2 88 176 240 forza 2 22's are 22 ones are or you can say here eleven twos are two okay these are the factors so 176 can be written as 176 is equal to 2 into 2 into 2 into 2 into 11 and hence these are the prime factors now grouping these prime factors in the group of two two we got 11 as alone it is not grouped properly so it is only 11 has no pair factor 11 has no pair the smallest number which it should be multiplied to get the perfect square is 11. then what you can do over here to make it a perfect square is 176 into 11 so that is equal to 1936 so factors of 1936 becomes 2 into 2 into 2 into 2 into 11 one more time we have multiply 11 that is 11 over here we have taken the same as this one and just multiply this 11 here so basically now it will become root of if we take root of 1936 square root then it will become square root of 2 square into 2 square into 11 square so that is 2 into 2 into 11 which is 44. square root of 1936 is 44 so this is the answer if you have any queries you can drop it in comment section and subscribe to lido for more q a thank you for watching
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Is 2352 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?
Now, to verify that 3 is the smallest number which is multiplied to 2352 to make it a perfect square, we need to multiply 3 with the number and then find its square root. Hence, the number is a perfect square and the perfect square is 84.Is 33075 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?
Here, number of 5's is 2 and number of 11's is 3. So we need to multiply another 5 to the factorization to make 33275 a perfect cube. Hence, the smallest number by which 33275 must be multiplied to obtain a perfect cube is 5.Is 2352 a perfect square if not find the smallest number by which 2352 must be divided so that the product is a perfect square find the square root of new number?
Hence, 2352 is not a perfect square number, so, 3 must be multiplied to make it a perfect square no and thus the new number is 7056 . The square root of the new number is 84 .IS 176 a perfect square if not find the smallest?
First, we have to find out the factors by using the prime factorisation method. Factor 11 has no pair. ∴176 is not a perfect square. The smallest number it should be multiplied to get a perfect square is 11. Tải thêm tài liệu liên quan đến nội dung bài viết Is 79380 a perfect square if not find the smallest number by which it should be multiplied to get a perfect square?
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