Question

Find the square root of following numbers without actual multiplication.

i] 39
ii] 42 ​

Answer 1

Answer:

Hello There,

This is your answer.

Step-by-step explanation:

39^2 = 39 × 39

= ( 30 + 9 ) × ( 30 + 9 )

= 30 ( 30 + 9 ) + 9 ( 30 + 9 )

= 30 × 30 + ( 30 × 9 ) + ( 9 × 30 ) + 9 × 9

= 900 + 270 + 270 + 81

= 1521

42^2 = 42 × 42

= ( 40 + 2 ) × ( 40 + 2 )

= 40 × ( 40 + 2 ) + 2 × ( 40 + 2 )

= 1600 + 80 + 80 + 4

= 1764

HOPE IT HELPS YOU!!!

HAVE A GREAT DAY AHEAD!!!

Answer 2

$\huge\boxed{\fcolorbox{red}{yellow}{Answer}}$

⠀

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

⠀

Square of 39 :

$\bf{→{39}^{2}~=~1521}$

$\rm{→{[30~+~9]}^{2}~=~30[30~+~9]~+~9[30~+~9]}$

$\rm{→{30}^{2}~+~30~×~9~+~9~×~30~+~{9}^{2}}$

$\rm{→900~+~270~+~270~+~81~=~1521}$

⠀

Square of 42 :

$\bf{→{42}^{2}~=~1764}$

$\rm{→{[40~+~2]}^{2}~=~40[40~+~2]~+~2[40~+~2]}$

$\rm{→{40}^{2}~+~40~×~2~+~2~×~40~+~{2}^{2}}$

$\rm{→1600~+~80~+~80~+~4~=~1764}$

⠀

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

⠀

⠀⠀⠀⠀⠀ ⠀⠀нσρє ıт нєłρs

⠀⠀⠀⠀ ⠀⠀⠀ωıтн яєgαя∂s

⠀⠀⠀⠀ ⠀⠀⠀❤αя + ηαѵ❤