Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: TEST YOUR SKILLS

Observe the following pattern and find the missing numbers.

${11}^2=121$

${101}^2=10201$

${1001}^2=.........$

Observe the following pattern and find the missing numbers.

${11}^2=121$
${101}^2=10201$
${100001}^2=.......$

Observe the following pattern and find the missing numbers?

${11}^2=121$
${101}^2=10201$
${10101}^2=102030201$
${1010101}^2=........$

Observe the following pattern and find the missing numbers?

${11}^2=121$
${101}^2=10201$
${10101}^2=102030201$

$(.................{)}^2=10203040504030201$

Using the given pattern find the missing numbers.

$1^2+2^2+2^2=3^2$

$2^2+3^2+6^2=7^2$

$3^2+4^2+{12}^2={\left(.......\right)}^2$

Using the given pattern find the missing number.

$1^2+2^2+2^2=3^2$

$2^2+3^2+6^2=7^2$

$4^2+(.\dots {)}^2+{20}^2={21}^2$

Using the given pattern find the missing number.

$1^2+2^2+2^2=3^2$

$2^2+3^2+6^2=7^2$

$(\dots \dots ....{)}^2+6^2+{30}^2={31}^2$

Using the given pattern find the missing number.

$1^2+2^2+2^2=3^2$

$2^2+3^2+6^2=7^2$

$6^2+7^2+($_____${)}^2={43}^2$