Question

find the sum of 2√3 and 3√2(show the process)
​

Answer 1

Step-by-step explanations

2√3+3√2

√4√3+√9√3

=√12+√18

=√30=7.7067

Answer 2

Answer:

Required sum is $2 \sqrt{3} + 3 \sqrt{2}$

Step-by-step explanation:

Given two numbers are $2 \sqrt{3}$and $3 \sqrt{2}$

Here we want to find sum of these two numbers.

Basically this is a problem of power of indices.

Sum of $2 \sqrt{3} \: and \: 3 \sqrt{2}$ is $(2 \sqrt{3} + 3 \sqrt{2} )$

=√2×√2×√3+√3×√3×√2 = √2×√3(√2+√3)=√6(√2+√3)

Here applied formula is (√a×√a)=a

Some extra important formulas of power of indices,

${x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}$