Question

Find the square root of 25.63 up to two decimal place

Answer 1

Answer:

5.0624 mark me brainliest

Answer 2

Answer:

Required square root of 25.63 is 5.06.

Step-by-step explanation:

Here given number is 25.63.

Here we want to find square root of 25.63$= \sqrt{25.63}$

So,$\sqrt{25.63} = \sqrt{ \frac{2563}{100} }$

For solving this problem we need to break 2563 and 100 into prime numbers.

Therefore,$2563 = 11 \times 233$

and $100 = 2 \times 2 \times 5 \times 5$

So,

$\sqrt{ \frac{2563}{100} } = \sqrt{ \frac{11 \times 233}{2 \times 2 \times 5 \times 5} } = \frac{ \sqrt{11 \times 233} }{2 \times 5} = \frac{ \sqrt{11 \times 233} }{10}$

Again we know,

$\sqrt{11} = 3.317 \\ \sqrt{233} = 15.264$

So,

$\frac{ \sqrt{11 \times 233} }{10} = \frac{ \sqrt{11} \times \sqrt{233} }{10} = \frac{3.317 \times 15.2643}{10} = \frac{50.63180}{10} = 5.063180$

Here we need to value up to two decimal number.

So required square root of 25.63 is 5.06.

For solving square root chapter's problem, we need to remember square value upto 100 digit.

Here I am sharing square value up to 30,

${1}^{2} = 1 \\ {2}^{2} = 4 \\ {3}^{2} = 9 \\ {4}^{2} = 16 \\ {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49 \\ {8}^{2} = 64 \\ {9}^{2} = 81 \\ {10}^{2} = 100 \\ {11}^{2} = 121 \\ {12}^{2} = 144 \\ {13}^{2} = 169 \\ {14}^{2} = 196 \\ {15}^{2} = 225 \\ {16}^{2} = 256 \\ {17}^{2} = 289 \\ {18}^{2} = 324 \\ {19}^{2} = 361 \\ {20}^{2} = 400 \\ {21}^{2} = 441 \\ {22}^{2} = 484 \\ {23}^{2} = 529 \\ {24}^{2} = 576 \\ {25}^{2} = 625 \\ {27}^{2} = 729 \\ {28}^{2} = 784 \\ {29}^{2} = 841 \\ {30}^{2} = 900$