 1.You are watching: What is the square root of 165 What is the Square source of 165? 2. How to find the Square source of 165? 3. Is the Square source of 165 Irrational? 4. FAQs

☛ Check: Square root Calculator ### Value of √165 by Long division Method

Explanation:

Forming pairs: 01 and 65Find a number Y (1) such the whose square is bring down the next pair 65, to the best of the remainder 0. The new dividend is currently 65.Add the critical digit that the quotient (1) come the divisor (1) i.e. 1 + 1 = 2. To the right of 2, discover a number Z (which is 2) such that 2Z × Z division 65 through 22 with the quotient as 2, offering the remainder = 65 - 22 × 2 = 65 - 44 = 21.Now, let's discover the decimal places after the quotient 12.Bring under 00 to the best of this remainder 21. The new dividend is currently 2100.Add the last digit that quotient come divisor i.e. 2 + 22 = 24. Come the appropriate of 24, uncover a digit Z (which is 8) such the 24Z × Z division 2100 by 248 through the quotient together 8, providing the remainder = 2100 - 248 × 8 = 2100 - 1984 = 116.Bring down 00 again. Repeat over steps because that finding an ext decimal areas for the square source of 165.

Therefore, the square root of 165 by long department method is 12.8 approximately.

Example 1: deal with the equation x2 − 165 = 0

Solution:

x2 - 165 = 0 i.e. X2 = 165x = ±√165Since the value of the square source of 165 is 12.845,⇒ x = +√165 or -√165 = 12.845 or -12.845.

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## FAQs ~ above the Square root of 165

### What is the value of the Square source of 165?

The square root of 165 is 12.84523.

### Why is the Square root of 165 one Irrational Number?

Upon element factorizing 165 i.e. 31 × 51 × 111, 3 is in strange power. Therefore, the square source of 165 is irrational.

### What is the Square of the Square root of 165?

The square of the square root of 165 is the number 165 chin i.e. (√165)2 = (165)2/2 = 165.

### What is the Square root of 165 in easiest Radical Form?

We should express 165 together the product that its prime determinants i.e. 165 = 3 × 5 × 11. Therefore, together visible, the radical type of the square root of 165 can not be simplified further. Therefore, the simplest radical form of the square root of 165 deserve to be written as √165

### What is the worth of 15 square root 165?

The square source of 165 is 12.845. Therefore, 15 √165 = 15 × 12.845 = 192.678.

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### Is the number 165 a Perfect Square?

The prime factorization the 165 = 31 × 51 × 111. Here, the prime factor 3 is no in the pair. Therefore, 165 is no a perfect square.