# Square root and Cube root Maths with answers for all

## Square root and cube root introduction and solved problems

Square root and cube root: – Here we explain some easy trick to solving problems related to square root and cube root.

Square root (वर्गमूल):- किसी संख्या का वर्गमूल वह संख्या है जिसे अपने से गुना करने पर दी गई संख्या प्राप्त हो , जैसे x के वर्गमूल को हम √x से व्यक्त करते है | ( Square is a number which multiply itself , that is square root) For Example:-
√9 = 3 √16 = 4 √144 = 12

1 वर्गमूल = 1 x 1 = 1
2 वर्गमूल = 2 x 2 = 4
3 वर्गमूल = 3 x 3 = 9
4 वर्गमूल = 4 x 4 = 16
5 वर्गमूल = 5 x 5 = 25
6 वर्गमूल = 6 x 6 = 36
7 वर्गमूल = 7 x 7 = 49

Q1. √1225 = ?
Solve: – 1225 = (5 x 5 x 7 x 7) = 5 x 7 = 35 Ans.

Q2. √4356 = ?
Solve: – 4356 = 2 x 2 x 3 x 11 x 1 = 2 x 3 x 11 = 66 Ans

Read also:- General Mathematics part-I

Q3. Solve this, 52/? = ?/13
हल :- माना की 52 /x = x/13
=> X 2 = 52 x 13 = 2 x 2 x 13 x 13 = 2 x 13 = 26 Ans

Q4. किसी स्कुल के छात्रों के एक समूह में प्रत्येक छात्र से उतने ही पैसे लिए गए , जितने समूह में छात्र थे | यदि कुल धन 59.29रु. एकत्रित हुआ , तो समूह में कुल कितने छात्र थे ? ( In a group of students of a school, the same amount of money was taken from each student as in the group. If the total money is Rs. 59.29. If gathered, how many students were there in the group)
Solve: माना की समूह में कुल = x छात्र थे , इसलिए प्रत्येक छात्र से लिया गया पैसे = x
कुल एकत्रित धन = x X x = x2 पैसे = x2 /100
=> X2 \100 = 59.29
=> X2 = 5929
=> X = 77 Ans

Q5. Find the Square root of 48?
Solve: – 48=(7-Δ)²≈49–14Δ
14Δ≈1
Δ≈1/14≈0.07
√48≈6.93

Q6. What is the square root of 32?

Solve:- As we know that :

(ab)=a*b

=32

=(32)

=(16*2)

=(16)(2)

=16*2

=4*(1.414)

=5.656 Answer

Q7. What is square root of 80?
Solution: 1st method:
The sqrt of 80 are
±80−−√

=±42⋅5−−−−√

=±42−−√5–√

=±45–√

≈±4×2.236

=±8.944.
2nd method:-

You want to know how to do it in your head?

It’s near 81, the square of 9. So we think

80−−√=81–1−−−−√=91–1/81−−−−−−√≈9(1–1/81/2)=9–1/18=9–0.055555

Gets you 8.944.

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